Sergey V. Tikhonov

Generating author description...

All published works

Action	Title	Year	Authors
+	Roots of polynomials over division rings	2024	Alina G. Goutor Sergey V. Tikhonov
+	Outer forms of type $A_{2}$ with infinite genus	2024	Sergey V. Tikhonov
+ PDF Chat	On genus of division algebras	2020	Sergey V. Tikhonov
+ PDF Chat	Division algebras of prime degree with infinite genus	2016	Sergey V. Tikhonov
+	Homomorphisms and Involutions of Unramified Henselian Division Algebras	2015	Sergey V. Tikhonov V. I. Yanchevskiĭ
+	Symmetric Elements, Hermitian Forms, and Cyclic Involutions	2015	Sergey V. Tikhonov V. I. Yanchevskiĭ
+	Division algebras of prime degree with infinite genus	2014	Sergey V. Tikhonov
+	Prescribed behavior of central simple algebras after scalar extension	2011	Ulf Rehmann Sergey V. Tikhonov V. I. Yanchevskiĭ
+	The unramified Brauer group and the Pythagoras number of hyperelliptic curves with good reduction defined over henselian valued fields	2011	Sergey V. Tikhonov Jan Van Geel V. I. Yanchevskiĭ
+	Symbol algebras and cyclicity of algebras after a scalar extension	2009	Ulf Rehmann Sergey V. Tikhonov V. I. Yanchevskiĭ
+ PDF Chat	Abelian crossed products and scalar extensions of central simple algebras	2009	Sergey V. Tikhonov V. I. Yanchevskiĭ
+	Pythagoras numbers of function fields of hyperelliptic curves with good reduction	2006	Sergey V. Tikhonov Jan Van Geel V. I. Yanchevskiĭ
+ PDF Chat	Bicyclic algebras of prime exponent over function fields	2005	Boris Kunyavskiı̆ Louis Rowen Sergey V. Tikhonov V. I. Yanchevskiĭ
+ PDF Chat	Division algebras that ramify only on a plane quartic curve	2005	Boris Kunyavskiı̆ Louis Rowen Sergey V. Tikhonov V. I. Yanchevskiĭ
+	Division algebras that ramify only on a plane quartic curve	2004	Boris Kunyavskiı̆ Louis Rowen Sergey V. Tikhonov V. I. Yanchevskiĭ
+	Conic bundles over real formal power series field	2003	D Bazyleu Sergey V. Tikhonov Vyacheslav I. Yanchevski
+	The indices of central simple algebras over function fields of projective spaces over $ P_{n,r}$-fields	2002	Sergey V. Tikhonov V. I. Yanchevskiĭ
+ PDF Chat	Индексы центральных простых алгебр над полями функций проективных пространств над $P_{n,r}$-полями	2002	S. V. Tikhonov Sergey V. Tikhonov Вячеслав Иванович Янчевский V. I. Yanchevskiĭ
+	TWO-TORSION OF THE BRAUER GROUPS OF HYPERELLIPTIC CURVES AND UNRAMIFIED ALGEBRAS OVER THEIR FUNCTION FIELDS	2001	Ulf Rehmann Sergey V. Tikhonov V. I. Yanchevskiĭ

Common Coauthors

Coauthor	Papers Together
V. I. Yanchevskiĭ	13
Boris Kunyavskiı̆	3
Ulf Rehmann	3
Louis Rowen	3
Jan Van Geel	2
Alina G. Goutor	1
S. V. Tikhonov	1
D Bazyleu	1
Vyacheslav I. Yanchevski	1
Вячеслав Иванович Янчевский	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Lectures on Division Algebras	1999	David J. Saltman	8
+	Lectures on Division Algebras	1999	David J. Saltman	7
+	TWO-TORSION OF THE BRAUER GROUPS OF HYPERELLIPTIC CURVES AND UNRAMIFIED ALGEBRAS OVER THEIR FUNCTION FIELDS	2001	Ulf Rehmann Sergey V. Tikhonov V. I. Yanchevskiĭ	5
+ PDF Chat	Bicyclic algebras of prime exponent over function fields	2005	Boris Kunyavskiı̆ Louis Rowen Sergey V. Tikhonov V. I. Yanchevskiĭ	4
+	Brauer Groups of Discrete Valuation Rings	1968	Maurice Auslander Armand Brumer	4
+	Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties.	1994	Jean-Louis Colliot-Thélène	4
+ PDF Chat	The index of a Brauer class on a Brauer-Severi variety	1992	Aidan Schofield Michel Van den Bergh	3
+	Finite-Dimensional Division Algebras over Fields	1996	Nathan Jacobson	3
+	Associative Algebras	1982	R. S. Pierce	3
+	Quadratic forms over fraction fields of two-dimensional Henselian rings and Brauer groups of related schemes	2002	Jean-Louis Colliot-Thélène Manuel Ojanguren R. Parimala	3
+	ZERO-CYCLES ON RATIONAL SURFACES AND NÉRON-SEVERI TORI	1985	Boris Kunyavskiı̆ M. A. Tsfasman	2
+	Quadratic forms under algebraic extensions	1976	Richard Elman T. Y. Lam	2
+	Division algebras over Henselian fields	1990	Bill Jacob Adrian R. Wadsworth	2
+	The Book of Involutions	1998	Max-Albert Knus Alexander Merkurjev Markus Rost Jean-Pierre Tignol	2
+	Division Algebras Which Only Ramify along a Hyperelliptic Curve in P2	2001	Bill Jacob	2
+ PDF Chat	Algebraic geometry: a first course	1993	Joe Harris	2
+	SK1 of division algebras and Galois cohomology	1991	Andrei Suslin	2
+ PDF Chat	Division algebras with infinite genus	2014	Jeffrey S. Meyer	2
+	Division Algebras that Ramify Only Along a Singular Plane Cubic Curve	1995	Timothy J. Ford	2
+	Éléments de mathématique	2006	Nicolás Bourbaki	2
+	Quadratic and Hermitian Forms	1985	Winfried Scharlau	2
+	The period-index problem for the Brauer group of an algebraic surface	2004	A. J. de Jong	2
+	RATIONAL SURFACES WITH A PENCIL OF RATIONAL CURVES	1967	V A Iskovskih	2
+ PDF Chat	Cohomologie Galoisienne	1994	Jean-Pierre Serre	2
+	On central division algebras	1972	S. A. Amitsur	2
+	On the Chow groups of certain rational surfaces: a sequel to a paper of S. Bloch	1981	Jean-Louis Colliot-Thélène Jean-Jacques Sansuc	2
+ PDF Chat	Division algebra coproducts of index 𝑛	1994	Michel Van den Bergh Aidan Schofield	2
+	Excellent Algebraic Groups, I	1998	Ina Kersten Ulf Rehmann	2
+	Prescribed behavior of central simple algebras after scalar extension	2011	Ulf Rehmann Sergey V. Tikhonov V. I. Yanchevskiĭ	2
+	Central Simple Algebras and Galois Cohomology	2006	Philippe Gille Tamás Szamuely	2
+ PDF Chat	Torsion algebraic cycles, K2, and Brauer groups of function fields	1981	Spencer Bloch	2
+	Fibres Dégénérées des Schémas de Severi–Brauer d'Ordres	1997	Emmanuelle Frossard	2
+	Isomorphisms of generic splitting fields of simple algebras.	1964	Peter Roquette	2
+	On the genus of a division algebra	2012	Vladimir Chernousov Andrei S. Rapinchuk Igor A. Rapinchuk	2
+	Finite-Dimensional Division Algebras	1996	В. П. Платонов V. I. Yanchevskiĭ	2
+	Quadratic Forms with Applications to Algebraic Geometry and Topology	1995	Albrecht Pfister	2
+ PDF Chat	On the Wedderburn norm condition for cyclic algebras	1931	A. A. Albert	1
+	Division algebras that ramify only on a plane nodal cubic curve plus a line	2003	Timothy J. Ford	1
+ PDF Chat	On division algebras having the same maximal subfields	2010	Andrei S. Rapinchuk Igor A. Rapinchuk	1
+	Computing the zeros of quaternion polynomials	2001	Rogério Serôdio E. Pereira José Vitória	1
+	Division algebras over rational function fields in one variable	2005	Louis Rowen A. S. Sivatski Jean-Pierre Tignol	1
+	Ω-Algebras over Henselian Discrete Valued Fields with Real Closed Residue Field	2007	D Bazyleu Jan Van Geel V. I. Yanchevskiĭ	1
+	Algebraic number theory : proceedings of an instructional conference organized by the London Mathematical Society (a Nato Advanced Study Institute) with the support of the International Mathematical Union	1967	J. W. S. Cassels A. Fröhlich	1
+ PDF Chat	A construction of non-cyclic normal division algebras	1932	A. A. Albert	1
+	On the second trace form of central simple algebras in characteristic two	2001	Grégory Berhuy Christoph Frings	1
+ PDF Chat	A Note on the Computation of All Zeros of Simple Quaternionic Polynomials	2010	Drahoslava Janovská Gerhard Opfer	1
+	Lectures On Galois Cohomology of Classical Groups	1969	Martin Kneser P. Jothilingam	1
+	Quadratic forms and theu-invariant. II	1973	Richard Elman T. Y. Lam	1
+ PDF Chat	The Brauer group of a commutative ring	1960	Maurice Auslander Oscar Goldman	1
+ PDF Chat	Sums of squares in function fields of hyperelliptic curves	2008	Karim Johannès Becher Jan Van Geel	1