Victor V. Batyrev

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the classification of smooth toric surfaces with exactly one exceptional curve	2024	Victor V. Batyrev
+ PDF Chat	Spherical amoebae and a spherical logarithm map	2024	Victor V. Batyrev Megumi Harada Johannes Hofscheier Kiumars Kaveh
+	Projecting Lattice Polytopes According to the Minimal Model Program	2024	Victor V. Batyrev
+	Canonical models of toric hypersurfaces	2023	Victor V. Batyrev
+	Projecting lattice polytopes according to the Minimal Model Program	2023	Victor V. Batyrev
+	Hodge Theory of Hypersurfaces in Toric Varieties and Recent Developments in Quantum Physics	2023	Victor V. Batyrev
+ PDF Chat	On the Fine Interior of Three-Dimensional Canonical Fano Polytopes	2022	Victor V. Batyrev Alexander Kasprzyk Karin Schaller
+ PDF Chat	A generalization of a theorem of White	2021	Victor V. Batyrev Johannes Hofscheier
+	A generalization of a theorem of White	2021	Victor V. Batyrev Johannes Hofscheier
+ PDF Chat	Mirror symmetry for quasi-smooth Calabi–Yau hypersurfaces in weighted projective spaces	2021	Victor V. Batyrev Karin Schaller
+	On the stringy Hodge numbers of mirrors of quasi-smooth Calabi-Yau hypersurfaces	2020	Victor V. Batyrev
+	Canonical models of toric hypersurfaces	2020	Victor V. Batyrev
+ PDF Chat	On the Fine Interior of Three-dimensional Canonical Fano Polytopes	2019	Victor V. Batyrev Alexander Kasprzyk Karin Schaller
+	Струнные $E$-функции канонических торических трехмерных многообразий Фано и их приложения	2019	Victor V. Batyrev Karin Schaller
+ PDF Chat	Stringy -functions of canonical toric Fano threefolds and their applications	2018	Victor V. Batyrev Karin Schaller
+ PDF Chat	Tamagawa numbers of polarized algebraic varieties	2018	Victor V. Batyrev Yuri Tschinkel
+	The stringy Euler number of Calabi-Yau hypersurfaces in toric varieties and the Mavlyutov duality	2017	Victor V. Batyrev
+ PDF Chat	On the algebraic stringy Euler number	2017	Victor V. Batyrev Giuliano Gagliardi
+ PDF Chat	The stringy Euler number of Calabi–Yau hypersurfaces in toric varieties and the Mavlyutov duality	2017	Victor V. Batyrev
+ PDF Chat	Stringy Chern classes of singular toric varieties and their applications	2017	Victor V. Batyrev Karin Schaller
+	The stringy Euler number of Calabi-Yau hypersurfaces in toric varieties and the Mavlyutov duality	2017	Victor V. Batyrev
+	Satellites of spherical subgroups.	2016	Victor V. Batyrev Anne Moreau
+	Stringy Chern classes of singular toric varieties and their applications	2016	Victor V. Batyrev Karin Schaller
+	Stringy Chern classes of singular toric varieties and their applications	2016	Victor V. Batyrev Karin Schaller
+	Satellites of spherical subgroups	2016	Victor V. Batyrev Philippe Moreau
+ PDF Chat	The arc space of horospherical varieties and motivic integration	2013	Victor V. Batyrev Anne Moreau
+	Toric Geometry	2013	Klaus Altmann Victor V. Batyrev Yael Karshon
+	Lattice polytopes, finite abelian subgroups in $\SL(n,\C)$ and coding theory	2013	Victor V. Batyrev Johannes Hofscheier
+ PDF Chat	Conifold degenerations of Fano 3-folds as hypersurfaces in toric varieties	2012	Victor V. Batyrev Maximilian Kreuzer
+ PDF Chat	On Calabi-Yau complete intersections in toric varieties	2012	Victor V. Batyrev Lev Borisov
+	The arc space of horospherical varieties and motivic integration	2012	Victor V. Batyrev Anne Moreau
+	The arc space of horospherical varieties and motivic integration	2012	Victor V. Batyrev Philippe Moreau
+ PDF Chat	The functor of toric varieties associated with Weyl chambers and Losev-Manin moduli spaces	2011	Victor V. Batyrev Mark Blume
+	NUMBER THEORY AND PHYSICS AT THE CROSSROADS	2011	Noriko Yui Victor V. Batyrev Charles F. Doran Sergei Gukov Zon Zagier
+ PDF Chat	On Generalisations of Losev-Manin Moduli Spaces for Classical Root Systems	2011	Victor V. Batyrev Mark Blume
+	A generalization of a theorem of G. K. White	2010	Victor V. Batyrev Johannes Hofscheier
+ PDF Chat	Constructing new Calabi-Yau 3-folds and their mirrors via conifold transitions	2010	Victor V. Batyrev Maximilian Kreuzer
+ PDF Chat	Classification of Gorenstein Toric Del Pezzo Varieties in Arbitrary Dimension	2010	Victor V. Batyrev Dorothee Juny
+	A generalization of a theorem of G. K. White	2010	Victor V. Batyrev Johannes Hofscheier
+	Toric Geometry	2009	Klaus Altmann Victor V. Batyrev Yael Karshon
+	On generalisations of Losev-Manin moduli spaces for classical root systems	2009	Victor V. Batyrev Mark Blume
+	The functor of toric varieties associated with Weyl chambers and Losev-Manin moduli spaces	2009	Victor V. Batyrev Mark Blume
+	Classification of Gorenstein Toric Del Pezzo Varieties in arbitrary dimension	2009	Victor V. Batyrev Dorothee Juny
+	On generalisations of Losev-Manin moduli spaces for classical root systems	2009	Victor V. Batyrev Mark Blume
+	The functor of toric varieties associated with Weyl chambers and Losev-Manin moduli spaces	2009	Victor V. Batyrev Mark Blume
+	On the geometry of SL(2)-equivariant flips	2008	Victor V. Batyrev Fatima Haddad
+	Combinatorial aspects of mirror symmetry	2008	Victor V. Batyrev Benjamin Nill
+	Constructing new Calabi-Yau 3-folds and their mirrors via conifold transitions	2008	Victor V. Batyrev Maximilian Kreuzer
+	On the Geometry of SL(2)-Equivariant Flips	2008	Victor V. Batyrev Firas Haddad
+	Algebraic and Geometric Combinatorics	2007	Christos A. Athanasiadis Victor V. Batyrev Dimitrios I. Dais Martin Henk Francisco Santos
+ PDF Chat	Multiples of Lattice Polytopes without Interior Lattice Points	2007	Victor V. Batyrev Benjamin Nill
+	Combinatorial aspects of mirror symmetry	2007	Victor V. Batyrev Benjamin Nill
+ PDF Chat	Convex and Algebraic Geometry	2006	Klaus Altmann Victor V. Batyrev Bernard Teissier
+	Multiples of lattice polytopes without interior lattice points	2006	Victor V. Batyrev Benjamin Nill
+ PDF Chat	Lattice polytopes with a given ℎ*-polynomial	2006	Victor V. Batyrev
+	Multiples of lattice polytopes without interior lattice points	2006	Victor V. Batyrev Benjamin Nill
+	Lattice polytopes with a given $h^*$-polynomial	2006	Victor V. Batyrev
+	Integral Cohomology and Mirror Symmetry for Calabi-Yau 3-folds	2005	Victor V. Batyrev Maximilian Kreuzer
+	The Cox Ring of a Del Pezzo Surface	2004	Victor V. Batyrev О. Н. Попов
+	Mixed toric residues and Calabi-Yau complete intersections	2003	Victor V. Batyrev Evgeny Materov
+	The Cox ring of a Del Pezzo surface	2003	Victor V. Batyrev Олег Попов
+	Toric Residues and Mirror Symmetry	2002	Victor V. Batyrev Evgeny Materov
+	Mixed toric residues and Calabi-Yau complete intersections	2002	Victor V. Batyrev Evgeny Materov
+ PDF Chat	Toric Residues and Mirror Symmetry	2002	Victor V. Batyrev Evgeny Materov
+ PDF Chat	Book Review: Mirror symmetry and algebraic geometry	2000	Victor V. Batyrev
+	Canonical abelianization of finite group actions	2000	Victor V. Batyrev
+ PDF Chat	Stringy Hodge numbers and Virasoro algebra	2000	Victor V. Batyrev
+ PDF Chat	Mirror symmetry and toric degenerations of partial flag manifolds	2000	Victor V. Batyrev Ionuţ Ciocan-Fontanine Bumsig Kim Duco van Straten
+	Einstein-Kähler metrics on symmetric toric Fano manifolds	1999	Victor V. Batyrev E. N. Selivanova
+	Birational Calabi–Yau <i>n</i>-folds have equal Betti numbers	1999	Victor V. Batyrev
+ PDF Chat	Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs	1999	Victor V. Batyrev
+ PDF Chat	On the classification of toric Fano 4-folds	1999	Victor V. Batyrev
+	Einstein-Kaehler Metrics on Symmetric Toric Fano Manifolds	1999	Victor V. Batyrev E. N. Selivanova
+ PDF Chat	New Trends in Algebraic Geometry: Birational Calabi–Yau n -folds have equal Betti numbers	1999	Victor V. Batyrev
+	Mirror Symmetry and Toric Degenerations of Partial Flag Manifolds	1998	Victor V. Batyrev Ionuţ Ciocan-Fontanine Bumsig Kim Duco van Straten
+	Non-Archimedian integrals and stringy Euler numbers of log terminal pairs	1998	Victor V. Batyrev
+	Conifold transitions and mirror symmetry for Calabi-Yau complete intersections in Grassmannians	1998	Victor V. Batyrev Ionuţ Ciocan-Fontanine Bumsig Kim Duco van Straten
+	On the Classification of Toric Fano 4-folds	1998	Victor V. Batyrev
+	Non-Archimedian integrals and stringy Euler numbers of log terminal pairs	1998	Victor V. Batyrev
+	Mirror Symmetry and Toric Degenerations of Partial Flag Manifolds	1998	Victor V. Batyrev Ionuţ Ciocan-Fontanine Bumsig Kim Duco van Straten
+	Mirror symmetry and toric geometry	1998	Victor V. Batyrev
+	Stringy Hodge numbers and Virasoro algebra	1997	Victor V. Batyrev
+	On the Betti numbers of birationally isomorphic projective varieties with trivial canonical bundles	1997	Victor V. Batyrev
+	Toric Degenerations of Fano Varieties and Constructing Mirror Manifolds	1997	Victor V. Batyrev
+	Tamagawa numbers of polarized algebraic varieties	1997	Victor V. Batyrev Yu. Tschinkel
+	Stringy Hodge numbers of varieties with Gorenstein canonical singularities	1997	Victor V. Batyrev
+	Stringy Hodge numbers and Virasoro algebra	1997	Victor V. Batyrev
+	Birational Calabi--Yau n-folds have equal Betti numbers	1997	Victor V. Batyrev
+ PDF Chat	Height zeta functions of toric varieties	1996	Victor V. Batyrev Yu. Tschinkel
+	Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry	1996	Victor V. Batyrev Dimitrios I. Dais
+ PDF Chat	Mirror duality and string-theoretic Hodge numbers	1996	Victor V. Batyrev Lev Borisov
+	Rational points on some Fano cubic bundles	1996	Victor V. Batyrev Yuri Tschinkel
+	Rational points on some Fano cubic bundles	1996	Victor V. Batyrev Yuri Tschinkel
+	Height Zeta Functions of Toric Varieties	1996	Victor V. Batyrev Yuri Tschinkel
+	Manin's conjecture for toric varieties	1995	Victor V. Batyrev Yuri Tschinkel
+ PDF Chat	Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties	1995	Victor V. Batyrev Duco van Straten
+	Rational points on toric varieties	1995	Yuri Tschinkel Victor V. Batyrev
+	Manin's conjecture for toric varieties	1995	Victor V. Batyrev Yuri Tschinkel
+ PDF Chat	None	1995	Victor V. Batyrev Yuri Tschinkel
+	On the Hodge structure of projective hypersurfaces in toric varieties	1994	Victor V. Batyrev David A. Cox
+	Dual Cones and Mirror Symmetry for Generalized Calabi-Yau Manifolds	1994	Victor V. Batyrev Lev Borisov
+	Rational Points of Bounded Height on Compactifications of Anisotropic Tori	1994	Victor V. Batyrev Yuri Tschinkel
+	Strong McKay Correspondence, String-theoretic Hodge Numbers and Mirror Symmetry	1994	Victor V. Batyrev Dimitrios I. Dais
+	On Calabi-Yau Complete Intersections in Toric Varieties	1994	Victor V. Batyrev Lev Borisov
+	Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties	1993	Victor V. Batyrev
+	Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori	1993	Victor V. Batyrev
+	Quantum Cohomology Rings of Toric Manifolds	1993	Victor V. Batyrev
+	Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties	1993	Victor V. Batyrev
+	On the Hodge Structure of Projective Hypersurfaces in Toric Varieties	1993	Victor V. Batyrev David A. Cox
+	Rational points of bounded height on toric varieties(Geometry of Toric Varieties and Convex Polytopes)	1992	Victor V. Batyrev
+	Toric varieties and smooth convex approximation of a polytope	1992	Victor V. Batyrev
+	On the classification of smooth complete toric varieties with Picard number 3(Geometry of Toric Varieties and Convex Polytopes)	1992	Victor V. Batyrev
+	The cone of effective divisors of threefolds	1992	Victor V. Batyrev
+ PDF Chat	On the classification of smooth projective toric varieties	1991	Victor V. Batyrev
+	Sur le nombre des points rationnels de hauteur borné des variétés algébriques	1990	Victor V. Batyrev Yu. I. Manin
+	ON SOME NUMERICAL CHARACTERISTICS OF MULTIDIMENSIONAL FANO VARIETIES	1986	Victor V. Batyrev
+	TOROIDAL FANO 3-FOLDS	1982	Victor V. Batyrev

Common Coauthors

Coauthor	Papers Together
Karin Schaller	8
Johannes Hofscheier	6
Mark Blume	6
Duco van Straten	5
Yuri Tschinkel	5
Benjamin Nill	5
Yuri Tschinkel	4
Maximilian Kreuzer	4
Lev Borisov	4
Ionuţ Ciocan-Fontanine	4
Evgeny Materov	4
Bumsig Kim	4
Anne Moreau	3
Dimitrios I. Dais	3
Klaus Altmann	3
Alexander Kasprzyk	2
Yu. Tschinkel	2
Dorothee Juny	2
Philippe Moreau	2
E. N. Selivanova	2
David A. Cox	2
Yael Karshon	2
Yu. I. Manin	1
Christos A. Athanasiadis	1
Giuliano Gagliardi	1
Charles F. Doran	1
Bernard Teissier	1
Sergei Gukov	1
Martin Henk	1
Firas Haddad	1
Fatima Haddad	1
Noriko Yui	1
Kiumars Kaveh	1
О. Н. Попов	1
Zon Zagier	1
Francisco Santos	1
Олег Попов	1
Megumi Harada	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties	1993	Victor V. Batyrev	33
+	THE GEOMETRY OF TORIC VARIETIES	1978	V. I. Danilov	26
+	Introduction to Toric Varieties.	1993	William Fulton	19
+ PDF Chat	Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties	1995	Victor V. Batyrev Duco van Straten	18
+ PDF Chat	Mirror duality and string-theoretic Hodge numbers	1996	Victor V. Batyrev Lev Borisov	14
+	NEWTON POLYHEDRA AND AN ALGORITHM FOR COMPUTING HODGE–DELIGNE NUMBERS	1987	V. I. Danilov Askold Khovanskiĭ	13
+	Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry	1996	Victor V. Batyrev Dimitrios I. Dais	13
+	Dual Cones and Mirror Symmetry for Generalized Calabi-Yau Manifolds	1994	Victor V. Batyrev Lev Borisov	13
+	Stringy Hodge numbers of varieties with Gorenstein canonical singularities	1997	Victor V. Batyrev	11
+	Towards the Mirror Symmetry for Calabi-Yau Complete intersections in Gorenstein Toric Fano Varieties	1993	Lev Borisov	10
+	Rational points of bounded height on Fano varieties	1989	Jens Frankē Yuri I. Manin Yuri Tschinkel	10
+	Decomposition of Toric Morphisms	1983	Miles Reid	9
+	Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori	1993	Victor V. Batyrev	9
+	Convex Bodies and Algebraic Geometry: An Introduction to the Theory of Toric Varieties	1987	Tadao Oda	9
+	A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory	1991	Philip Candelas Xenia C. de la Ossa Paul S. Green Linda Parkes	8
+	Duality in Calabi-Yau moduli space	1990	Brian Greene M. Ronen Plesser	8
+ PDF Chat	Complete classification of reflexive polyhedra in four dimensions	2000	Maximilian Kreuzer Harald Skarke	8
+	Newton polyhedra and the genus of complete intersections	1978	Askold Khovanskiĭ	7
+	None	1993	Anatoly Libgober Jeremy Teitelbaum	7
+ PDF Chat	Classification of reflexive polyhedra in three dimensions	1998	Maximilian Kreuzer Harald Skarke	7
+	Quantum Cohomology Rings of Toric Manifolds	1993	Victor V. Batyrev	7
+	Mirror Symmetry and Algebraic Geometry	1999	David Cox Sheldon Katz	7
+ PDF Chat	Canonical Toric Fano Threefolds	2010	Alexander Kasprzyk	6
+	On the Hodge structure of projective hypersurfaces in toric varieties	1994	Victor V. Batyrev David A. Cox	6
+ PDF Chat	On the classification of smooth projective toric varieties	1991	Victor V. Batyrev	6
+ PDF Chat	Germs of arcs on singular algebraic varieties and motivic integration	1999	Jan Denef François Loeser	6
+	Decompositions of Rational Convex Polytopes	1980	Richard P. Stanley	6
+ PDF Chat	Hypergeometric equations and weighted projective spaces	2011	Alessio Corti Vasily Golyshev	6
+ PDF Chat	The stringy Euler number of Calabi–Yau hypersurfaces in toric varieties and the Mavlyutov duality	2017	Victor V. Batyrev	6
+ PDF Chat	On Calabi-Yau complete intersections in toric varieties	2012	Victor V. Batyrev Lev Borisov	6
+	Manin's conjecture for toric varieties	1995	Victor V. Batyrev Yuri Tschinkel	6
+ PDF Chat	Uniqueness of the complex structure on Kähler manifolds of certain homotopy types	1990	Anatoly Libgober John W. Wood	6
+ PDF Chat	WEIGHT SYSTEMS FOR TORIC CALABI-YAU VARIETIES AND REFLEXIVITY OF NEWTON POLYHEDRA	1996	Harald Skarke	5
+	Calculus on Arithmetic Surfaces	1984	Герд Фалтингс	5
+	Arithmetic of Algebraic Tori	1961	Takashi Ono	5
+	Strings on orbifolds	1985	Lance J. Dixon Jeffrey A. Harvey Cumrun Vafa Edward Witten	5
+	Fundamentals of Diophantine Geometry	1983	Serge Lang	5
+	SINGULAR TORIC FANO VARIETIES	1993	Alexandr Borisov Lev Borisov	5
+ PDF Chat	Multiples of Lattice Polytopes without Interior Lattice Points	2007	Victor V. Batyrev Benjamin Nill	5
+	CONVEX BODIES AND ALGEBRAIC GEOMETRY An Introduction to the Theory of Toric Varieties (Ergebnisse der Mathematik und ihrer Grenzgebiete (3) 15)	1989	P. Μ. H. Wilson	5
+	On the Tamagawa Number of Algebraic Tori	1963	Takashi Ono	5
+ PDF Chat	Mirror symmetry and rational curves on quintic threefolds: a guide for mathematicians	1993	David R. Morrison	5
+	PROJECTIVE INVARIANT DEMAZURE MODELS	1983	V E Voskresenskiĭ	5
+	Conifold transitions and mirror symmetry for Calabi-Yau complete intersections in Grassmannians	1998	Victor V. Batyrev Ionuţ Ciocan-Fontanine Bumsig Kim Duco van Straten	5
+ PDF Chat	Semiample hypersurfaces in toric varieties	2000	Anvar R. Mavlyutov	4
+ PDF Chat	Lattice vertex polytopes with interior lattice points	1983	Douglas Hensley	4
+ PDF Chat	PALP: A Package for Analysing Lattice Polytopes with applications to toric geometry	2003	Maximilian Kreuzer Harald Skarke	4
+	Construction and couplings of mirror manifolds	1990	Paul S. Aspinwall C.A. Lütken G.G. Ross	4
+	Residues and Resultants	1997	Eduardo Cattani Alicia Dickenstein Bernd Sturmfels	4
+ PDF Chat	Linear Gale transforms and Gel'fand-Kapranov-Zelevinskij decompositions	1991	Tadao Oda Hyesook Park	4