Alexander Isaev

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All published works

Action	Title	Year	Authors
+ PDF Chat	Zero CR-curvature equations for Levi degenerate hypersurfaces via Pocchiola’s invariants	2020	Alexander Isaev
+ PDF Chat	ON THE CLASSIFICATION BY MORIMOTO AND NAGANO	2019	Alexander Isaev
+ PDF Chat	Further Steps Towards Classifying Homogeneous Kobayashi-Hyperbolic Manifolds with High-Dimensional Automorphism Group	2019	Alexander Isaev
+ PDF Chat	Stability of associated forms	2019	Maksym Fedorchuk Alexander Isaev
+	On the classification by Morimoto and Nagano	2019	Alexander Isaev
+ PDF Chat	Associated Form Morphism	2019	Maksym Fedorchuk Alexander Isaev
+ PDF Chat	Homogeneous Kobayashi-hyperbolic manifolds with high-dimensional group of holomorphic automorphisms	2019	Alexander Isaev
+	On the classification by Morimoto and Nagano	2019	Alexander Isaev
+ PDF Chat	Associated Forms: Current Progress and Open Problems	2018	Alexander Isaev
+	Associated form morphism.	2018	Maksym Fedorchuk Alexander Isaev
+	Further steps towards classifying homogeneous Kobayashi-hyperbolic manifolds with high-dimensional automorphism group	2018	Alexander Isaev
+	Associated forms: current progress and open problems	2018	Alexander Isaev
+	Associated form morphism	2018	Maksym Fedorchuk Alexander Isaev
+	Further steps towards classifying homogeneous Kobayashi-hyperbolic manifolds with high-dimensional automorphism group	2018	Alexander Isaev
+ PDF Chat	Homogeneous Kobayashi-hyperbolic manifolds with automorphism group of subcritical dimension	2017	Alexander Isaev
+	Homogeneous Kobayashi-hyperbolic manifolds with automorphism group of subcritical dimension	2017	Alexander Isaev
+	Homogeneous Kobayashi-hyperbolic manifolds with high-dimensional group of holomorphic automorphisms	2017	Alexander Isaev
+ PDF Chat	A Combinatorial Proof of the Smoothness of Catalecticant Schemes Associated to Complete Intersections	2017	Alexander Isaev
+	A combinatorial proof of the smoothness of catalecticant schemes associated to complete intersections	2017	Alexander Isaev
+	Stability of associated forms	2017	Maksym Fedorchuk Alexander Isaev
+	Conformal Maps (Continued). Möbius Transformations	2017	Alexander Isaev
+	Schwarz’s Lemma. Conformal Maps of the Unit Disk and the Upper Half-Plane. (Pre)-Compact Subsets of a Metric Space. Continuous Linear Functionals on H(D). Arzelà-Ascoli’s Theorem. Montel’s Theorem. Hurwitz’s Theorem	2017	Alexander Isaev
+	Proof of Theorem 8.3. Conformal Transformations of the Canonical Simply-Connected Domains	2017	Alexander Isaev
+	Domains Bounded by Pairs of Generalised Circles. Integration	2017	Alexander Isaev
+	Möbius Transformations (Continued). Generalised Circles. Symmetry	2017	Alexander Isaev
+	The Stereographic Projection. Conformal Maps. The Open Mapping Theorem	2017	Alexander Isaev
+	Twenty-One Lectures on Complex Analysis	2017	Alexander Isaev
+	Isolated Singularities of Holomorphic Functions at ∞ (Continued). Orders of Poles at ∞. Casorati-Weierstrass’ Theorem for an Isolated Singularity at ∞. Residues. Cauchy’s Residue Theorem. Computing Residues	2017	Alexander Isaev
+	ℝ- and ℂ-Differentiability	2017	Alexander Isaev
+	Analytic Continuation (Continued). The Monodromy Theorem	2017	Alexander Isaev
+	Computing Residues (Continued). Computing Integrals over the Real Line Using Contour Integration. The Argument Principle	2017	Alexander Isaev
+	Isolated Singularities of Holomorphic Functions (Continued). Characterisation of an Isolated Singularity via the Laurent Series Expansion. Orders of Poles and Zeroes. Casorati-Weierstrass’ Theorem. Isolated Singularities of Holomorphic Functions at ∞ and their Characterisation via Laurent Series Expansions	2017	Alexander Isaev
+	Complex Numbers. The Fundamental Theorem of Algebra	2017	Alexander Isaev
+	Proof of Lemma 7.2. Constructible Primitives of Holomorphic Functions along Paths. Integration of Holomorphic Functions over Arbitrary Paths. Homotopy. Simply-Connected Domains. The Riemann Mapping Theorem	2017	Alexander Isaev
+	Primitives Along Paths. Holomorphic Primitives. The Existence of a Holomorphic Primitive of a Function Holomorphic on a Disk. Goursat’s Lemma	2017	Alexander Isaev
+	Homogeneous Kobayashi-hyperbolic manifolds with automorphism group of subcritical dimension	2017	Alexander Isaev
+	A combinatorial proof of the smoothness of catalecticant schemes associated to complete intersections	2017	Alexander Isaev
+	Stability of associated forms	2017	Maksym Fedorchuk Alexander Isaev
+	Homogeneous Kobayashi-hyperbolic manifolds with high-dimensional group of holomorphic automorphisms	2017	Alexander Isaev
+	On homogeneous hypersurfaces in $${\mathbb {C}}^3$$ C 3	2016	Alexander Isaev
+ PDF Chat	Effective Transitive Actions of the Unitary Group on Quotients of Hopf Manifolds	2016	Alexander Isaev
+	On the contravariant of homogeneous forms arising from isolated hypersurface singularities	2016	Alexander Isaev
+ PDF Chat	Associated forms and hypersurface singularities: The binary case	2016	Jarod Alper Alexander Isaev
+ PDF Chat	A criterion for isomorphism of Artinian Gorenstein algebras	2016	Alexander Isaev
+	On the image of the associated form morphism	2016	Alexander Isaev
+	On homogeneous hypersurfaces in ${\mathbb C}^3$	2016	Alexander Isaev
+	On the contravariant of homogeneous forms arising from isolated hypersurface singularities	2016	Alexander Isaev
+ PDF Chat	ASSOCIATED FORMS OF BINARY QUARTICS AND TERNARY CUBICS	2015	Jarod Alper Alexander Isaev N. G. Kruzhilin
+ PDF Chat	A complex-analytic proof of a criterion for isomorphism of Artinian Gorenstein algebras	2015	Alexander Isaev
+	Proper group actions in complex geometry	2015	Alexander Isaev
+	A Criterion for Isomorphism of Artinian Gorenstein Algebras	2015	Alexander Isaev
+	Proper group actions in complex geometry	2015	Alexander Isaev
+	Associated Forms and Hypersurface Singularities: The Binary Case	2014	Jarod Alper Alexander Isaev
+	Associated forms in classical invariant theory and their applications to hypersurface singularities	2014	Jarod Alper Alexander Isaev
+	The reconstruction and recognition problems for homogeneous hypersurface singularities	2014	Alexander Isaev
+	Associated forms of binary quartics and ternary cubics	2014	Jarod Alper Alexander Isaev N. G. Kruzhilin
+ PDF Chat	On two methods for reconstructing homogeneous hypersurface singularities from their Milnor algebras	2014	Alexander Isaev
+ PDF Chat	Invariants of Artinian Gorenstein Algebras and Isolated Hypersurface Singularities	2014	Michael Eastwood Alexander Isaev
+	Associated Forms and Hypersurface Singularities: The Binary Case	2014	Jarod Alper Alexander Isaev
+	Topics on real and complex singularities : proceedings of the 4th Japanese-Australian Workshop (JARCS4), Kobe, Japan, 22-25 November 2011	2014	Satoshi Koike Toshizumi Fukui Laurenţiu Păunescu Adam Harris Alexander Isaev
+	On a family of real hypersurfaces in a complex quadric	2013	Alexander Isaev
+ PDF Chat	Explicit reconstruction of homogeneous isolated hypersurface singularities from their Milnor algebras	2013	Alexander Isaev N. G. Kruzhilin
+	On the Classification of Homogeneous Hypersurfaces in Complex Space	2013	Alexander Isaev
+ PDF Chat	HALF-QUANTUM LINEAR ALGEBRA	2013	Alexander Isaev O. Ogievetsky
+ PDF Chat	ON THE CLASSIFICATION OF HOMOGENEOUS HYPERSURFACES IN COMPLEX SPACE	2013	Alexander Isaev
+	On the Kobayashi hyperbolicity of certain tube domains	2013	Alan Huckleberry Alexander Isaev
+	Associated Forms in Classical Invariant Theory	2013	Jarod Alper Alexander Isaev
+	Examples of application of nil-polynomials to the biholomorphic equivalence problem for isolated hypersurface singularities	2013	Alexander Isaev
+	On the Classification of Homogeneous Hypersurfaces in Complex Space	2013	Alexander Isaev
+ PDF Chat	Application of classical invariant theory to biholomorphic classification of plane curve singularities, and associated binary forms	2012	Alexander Isaev
+	On a new criterion for isomorphism of Gorenstein algebras	2012	Alexander Isaev
+	On a new criterion for isomorphism of Artinian Gorenstein algebras	2012	Alexander Isaev
+	Explicit reconstruction of homogeneous isolated hypersurface singularities from their Milnor algebras	2012	Alexander Isaev N. G. Kruzhilin
+ PDF Chat	Half-quantum linear algebra	2012	Alexander Isaev O. Ogievetsky
+	On the Kobayashi hyperbolicity of certain tube domains	2011	Alan Huckleberry Alexander Isaev
+	Application of classical invariant theory to biholomorphic classification of plane curve singularities, and associated binary forms	2011	Alexander Isaev
+	On the Affine Homogeneity of Algebraic Hypersurfaces Arising from Gorenstein Algebras	2011	Alexander Isaev
+	(n − 1,1)-Spherical Tube Hypersurfaces	2011	Alexander Isaev
+	Extracting Invariants of Isolated Hypersurface Singularities from their Moduli Algebras	2011	Michael G. Eastwood Alexander Isaev
+	Tube Hypersurfaces	2011	Alexander Isaev
+	On the Affine Homogeneity of Algebraic Hypersurfaces Arising from Gorenstein Algebras	2011	Alexander Isaev
+	Application of classical invariant theory to biholomorphic classification of plane curve singularities, and associated binary forms	2011	Alexander Isaev
+	On the Kobayashi hyperbolicity of certain tube domains	2011	Alan Huckleberry Alexander Isaev
+	Number of Affine Equivalence Classes of (k, n − k) -Spherical Tube Hypersurfaces for k ≤ n − 2	2011	Alexander Isaev
+ PDF Chat	On the number of affine equivalence classes of spherical tube hypersurfaces	2010	Alexander Isaev
+	Simple elliptic hypersurface singularities: a new look at the equivalence problem	2010	Alexander Isaev
+	Isolated hypersurface singularities and polynomial realizations of affine quadrics	2010	Gregor Fels Alexander Isaev Wilhelm Kaup N. G. Kruzhilin
+ PDF Chat	Classical Symmetries of Complex Manifolds	2009	Alan Huckleberry Alexander Isaev
+ PDF Chat	Proper actions of lie groups of dimension n 2 + 1 on n-dimensional complex manifolds	2009	Alexander Isaev N. G. Kruzhilin
+	On the Number of Affine Equivalence Classes of Spherical Tube Hypersurfaces	2009	Alexander Isaev
+	Regularization of Local CR-Automorphisms of Real-Analytic CR-Manifolds	2009	Alexander Isaev Wilhelm Kaup
+	Classical Symmetries of Complex Manifolds	2009	Alan Huckleberry Alexander Isaev
+ PDF Chat	Infinite-dimensionality of the automorphism groups of homogeneous Stein manifolds	2008	Alan Huckleberry Alexander Isaev
+	Erratum to: Characterization of the Unit Ball in C n Among Complex Manifolds of Dimension n	2008	Alexander Isaev
+	On proper actions of Lie groups of dimension <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>n</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math> on n-dimensional complex manifolds	2008	Alexander Isaev
+	Complex manifolds admitting proper actions of high-dimensional groups	2008	Alexander Isaev
+	Infinite-dimensionality of the Automorphism Groups of Homogeneous Stein Manifolds	2008	Alan Huckleberry Alexander Isaev
+ PDF Chat	Erratum to: "On the dimension of the stability group for a Levi non-degenerate hypersurface" [Illinois J. Math. 49 (2005), no. 4, 1155–1169; MR2210357]	2007	Vladimir Ezhov Alexander Isaev
+	A Remark on a Theorem by Kodama and Shimizu	2007	Alexander Isaev
+	Lectures on the automorphism groups of Kobayashi-hyberbolic [i.e. hyperbolic] manifolds	2007	Alexander Isaev
+ PDF Chat	Hyperbolic n-dimensional manifolds with automorphism group of dimension n2	2006	Alexander Isaev
+ PDF Chat	Proper holomorphic maps between Reinhardt domains in ℂ2	2006	Alexander Isaev N. G. Kruzhilin
+	Proper actions of high-dimensional groups on complex manifolds	2006	Alexander Isaev
+ PDF Chat	Hyperbolic manifolds of dimensionn with automorphism group of dimensionn 2 − 1	2005	Alexander Isaev
+ PDF Chat	On hyperbolic<i>n</i>-dimensional manifolds with automorphism group of dimension<i>n</i><sup>2</sup>	2005	Alexander Isaev
+	Hyperbolic manifolds of dimension $n$ with automorphism group of dimension $n^2-1$	2005	Alexander Isaev
+	Analogues of Rossi's map and E. Cartan's classification of homogeneous strongly pseudoconvex 3-dimensional hypersurfaces	2005	Alexander Isaev
+	Hyperbolic 2-dimensional manifolds with 3-dimensional automorphism groups	2005	Alexander Isaev
+ PDF Chat	Characterization of the unit ball in C n among complex manifolds of dimensionn	2004	Alexander Isaev
+ PDF Chat	Effective actions of {${\rm SU}\sb n$} on complex {$n$}-dimensional manifolds	2004	Alexander Isaev N. G. Kruzhilin
+	Proper holomorphic maps between Reinhardt domains in ${\bf C}^2$	2004	Alexander Isaev N. G. Kruzhilin
+	Towards a Classification of Homogeneous Tube Domains in C^4	2004	Michael Eastwood Vladimir Ezhov Alexander Isaev
+ PDF Chat	ROTATIONALLY INVARIANT COMPLEX MANIFOLDS	2003	Alexander Isaev
+ PDF Chat	On the automorphism groups of hyperbolic manifolds	2001	Alexander Isaev Steven G. Krantz
+	Characterization of C n by its automorphism group	2001	Alexander Isaev
+ PDF Chat	On the dimensions of the automorphism groups of hyperbolic Reinhardt domains	2000	James A Gifford Alexander Isaev Steven G. Krantz
+	Characterization of ${\bf C}^n$ by its automorphism group	2000	Alexander Isaev
+	Invariant distances and metrics in complex analysis	2000	Alexander Isaev Stephen G Krantz
+	Effective actions of the unitary group on complex manifolds	2000	Alexander Isaev N. G. Kruzhilin
+	Characterization of Reinhardt domains by their automorphism groups	2000	Alexander Isaev Steven G. Krantz
+	On the automorphism groups of hyperbolic manifolds	1999	Alexander Isaev Steven G. Krantz
+ PDF Chat	Hyperbolic Reinhardt domains in ℂ2with noncompact automorphism group	1998	Alexander Isaev Steven G. Krantz
+	On the Dimensions of the Automorphism Groups of Hyperbolic Reinhardt Domains	1998	James A Gifford Alexander Isaev Steven G. Krantz
+ PDF Chat	Finitely smooth Reinhardt domains with non-compact automorphism group	1997	Alexander Isaev Steven G. Krantz
+ PDF Chat	Finite type conditions on reinhardt domains>	1996	Siqi Fu Alexander Isaev Steven G. Krantz
+	An Example of a Domain with Non-Compact Automorphism Group	1996	Siqi Fu Alexander Isaev Steven G. Krantz
+ PDF Chat	On the boundary orbit accumulation set for a domain with noncompact automorphism group.	1996	Alexander Isaev Steven G. Krantz
+ PDF Chat	Reinhardt domains with non-compact automorphism groups	1996	Siqi Fu Alexander Isaev Steven G. Krantz
+	Examples of domains with non-compact automorphism groups	1996	Siqi Fu Alexander Isaev Steven G. Krantz
+	Hyperbolic Reinhardt Domains in C^2 with Noncompact Automorphism Group	1996	Alexander Isaev Steven G. Krantz
+	On the boundary orbit accumulation set for a domain with non-compact automorphism group	1996	Alexander Isaev Steven G. Krantz
+	Finitely smooth Reinhardt domains with non-compact automorphism group	1996	Alexander Isaev Steven G. Krantz
+ PDF Chat	Examples of Domains with Non-Compact Automorphism Groups	1996	Siqi Fu Alexander Isaev Steven G. Krantz
+	Kähler-Einstein metric on Reinhardt domains	1995	Alexander Isaev
+	Reinhardt Domains with Non-Compact Automorphism Groups	1995	Siqi Fu Alexander Isaev Steven G. Krantz
+	Degenerate holomorphic mappings of nondegenerate $CR$-manifolds	1994	Alexander Isaev

Common Coauthors

Coauthor	Papers Together
Steven G. Krantz	16
N. G. Kruzhilin	9
Alan Huckleberry	7
Jarod Alper	7
Siqi Fu	6
Maksym Fedorchuk	6
Vladimir Ezhov	2
Wilhelm Kaup	2
O. Ogievetsky	2
James A Gifford	2
Michael Eastwood	2
Satoshi Koike	1
Michael G. Eastwood	1
N. G. Kruzhilin	1
Toshizumi Fukui	1
Gregor Fels	1
Adam Harris	1
Steven G. Krantz	1
Laurenţiu Păunescu	1
Stephen G Krantz	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Classification of isolated hypersurface singularities by their moduli algebras	1982	John N. Mather Stephen S.‐T. Yau	21
+ PDF Chat	Extracting invariants of isolated hypersurface singularities from their moduli algebras	2012	M. G. Eastwood A. V. Isaev	21
+	On the ubiquity of Gorenstein rings	1963	Hyman Bass	21
+ PDF Chat	Moduli of Isolated Hypersurface Singularities	2004	Michael G. Eastwood	16
+ PDF Chat	Homogeneous hyperbolic manifolds and homogeneous Siegel domains	1985	Kazufumi Nakajima	15
+ PDF Chat	On the automorphism groups of hyperbolic manifolds	2001	Alexander Isaev Steven G. Krantz	14
+	Associated forms in classical invariant theory and their applications to hypersurface singularities	2014	Jarod Alper Alexander Isaev	14
+	Algebraic Structures of Symmetric Domains	1981	Ichirō Satake	13
+	Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds	2007		13
+	Isolated Hypersurface Singularities and Special Polynomial Realizations of Affine Quadrics	2011	Gregor Fels A. P. Isaev Wilhelm Kaup N. G. Kruzhilin	13
+ PDF Chat	Hyperbolic 2–dimensional manifolds with 3–dimensional automorphism group	2008	Alexander Isaev	12
+	Hyperbolic Manifolds and Holomorphic Mappings.	1972	C. B. Allendoerfer Shôshichi Kobayashi	12
+ PDF Chat	An Introduction to the algebra of quantics	1896	E. B. Elliott	12
+ PDF Chat	Automorphisms of bounded Reinhardt domains	1989	Satoru Shimizu	12
+	On the Automorphisms and Equivalences of Generalized Siegel Domains	1970	Wilhelm Kaup YOZÔ MATSUSHIMA Takushiro Ochiai	10
+ PDF Chat	Effective Actions of the Unitary Group on Complex Manifolds	2002	A. V. Isaev N. G. Kruzhilin	10
+ PDF Chat	Hyman Bass and ubiquity: Gorenstein rings	1999	Craig Huneke	10
+ PDF Chat	GIT semistability of Hilbert points of Milnor algebras	2016	Maksym Fedorchuk	9
+	Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes	1933	Élie Cartan	9
+ PDF Chat	Hyperbolic n-dimensional manifolds with automorphism group of dimension n2	2006	Alexander Isaev	9
+	Hyperbolic Manifolds and Holomorphic Mappings	2005	Shôshichi Kobayashi	9
+	Hilbert functions of graded algebras	1978	Richard P. Stanley	9
+ PDF Chat	Sur une caractérisation de la boule parmi les domaines de ${\Bbb C}^n$ par son groupe d'automorphismes	1979	Jean-Pierre Rosay	9
+ PDF Chat	Reinhardt domains with non-compact automorphism groups	1996	Siqi Fu Alexander Isaev Steven G. Krantz	9
+ PDF Chat	Hyperbolic manifolds of dimensionn with automorphism group of dimensionn 2 − 1	2005	Alexander Isaev	9
+	Automorphic functions and the geometry of classical domains	1969	Ilya Piatetski-Shapiro	9
+ PDF Chat	Intrinsic distances, measures and geometric function theory	1976	Shôshichi Kobayashi	9
+	On the Existence of Slices for Actions of Non-Compact Lie Groups	1961	Richard S. Palais	8
+	Hyperbolic Complex Spaces	1998	Shôshichi Kobayashi	8
+	Characterization of the unit ball in ? n by its automorphism group	1977	Benjamin Wong	8
+	Einfach-elliptische Singularit�ten	1974	Kyoji Saito	8
+	Introduction to Singularities and Deformations	2008	Gert–Martin Greuel Eugeniĭ Shustin Christoph Lossen	8
+	Holomorphic equivalence problem for bounded Reinhardt domains	1978	Toshikazu Sunada	8
+	Invariant theory, old and new	1971	Jean Dieudonné James B. Carrell	7
+ PDF Chat	Nilpotent algebras and affinely homogeneous surfaces	2011	Gregor Fels Wilhelm Kaup	7
+	Functions with isomorphic Jacobian ideals	1976	A. N. Shoshitaishvili	7
+ PDF Chat	On the dimensions of the automorphism groups of hyperbolic Reinhardt domains	2000	James A Gifford Alexander Isaev Steven G. Krantz	7
+	CONVEX INTEGRATION OF DIFFERENTIAL RELATIONS. I	1973	M. Gromov	7
+ PDF Chat	A totally real three-sphere in 𝐶³ bounding a family of analytic disks	1990	Franc Forstnerič	7
+ PDF Chat	Isomorphism classes of short Gorenstein local rings via Macaulay’s inverse system	2012	Juan Elías Maria Evelina Rossi	7
+ PDF Chat	On pseudo-conformal transformations of hypersurfaces	1963	Akihiko Morimoto Tadashi Nagano	7
+	A stein manifold topologically but not holomorphically equivalent to a domain in Cn	1986	Edgar Lee Stout William R. Zame	7
+	An Introduction to Invariants and Moduli	2003	Shigeru Mukai W. M. Oxbury	7
+ PDF Chat	Associated forms and hypersurface singularities: The binary case	2016	Jarod Alper Alexander Isaev	7
+	Algebraic Geometry I : Schemes : With Examples and Exercises	2010	Ulrich Görtz Torsten Wedhorn	6
+	HOLOMORPHIC AUTOMORPHISMS OF HYPERBOLIC REINHARDT DOMAINS	1989	N. G. Kruzhilin	6
+ PDF Chat	A criterion for isomorphism of Artinian Gorenstein algebras	2016	Alexander Isaev	6
+	Classification of commutative algebras and tube realizations of hyperquadrics	2009	Gregor Fels Wilhelm Kaup	6
+ PDF Chat	Geometrische Methoden in der Invariantentheorie	1984	Hanspeter Kraft	6
+	Differential Geometry and Symmetric Spaces	2001	Sigurđur Helgason	6