Vladimir Dokchitser

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All published works

Action	Title	Year	Authors
+ PDF Chat	A note on the parity conjecture and base change	2024	Vladimir Dokchitser
+ PDF Chat	Root numbers and parity phenomena	2023	Lilybelle Cowland Kellock Vladimir Dokchitser
+ PDF Chat	On the parity conjecture for abelian surfaces	2023	Vladimir Dokchitser Céline Maistret
+	Root numbers and parity phenomena	2023	Lilybelle Cowland Kellock Vladimir Dokchitser
+	Reduction of Plane Quartics and Cayley Octads	2023	Raymond van Bommel Jordan Docking Vladimir Dokchitser Reynald Lercier Elisa Lorenzo García
+ PDF Chat	A note on hyperelliptic curves with ordinary reduction over 2-adic fields	2022	Vladimir Dokchitser Adam Morgan
+ PDF Chat	A user's guide to the local arithmetic of hyperelliptic curves	2022	Alex J. Best L. Alexander Betts Matthew Bisatt Raymond van Bommel Vladimir Dokchitser Omri Faraggi Sabrina Kunzweiler Céline Maistret Adam Morgan Simone Muselli
+ PDF Chat	Arithmetic of hyperelliptic curves over local fields	2022	Tim Dokchitser Vladimir Dokchitser Céline Maistret Adam Morgan
+	A note on hyperelliptic curves with ordinary reduction over 2-adic fields	2022	Vladimir Dokchitser Adam Morgan
+	Local Galois representations and Frobenius traces	2022	Tim Dokchitser Vladimir Dokchitser
+	Parity of ranks of Jacobians of curves	2022	Vladimir Dokchitser Holly Green Alexandros Konstantinou Adam Morgan
+	Character formula for conjugacy classes in a coset	2021	Tim Dokchitser Vladimir Dokchitser
+ PDF Chat	On a BSD-type formula for <i>L</i>-values of Artin twists of elliptic curves	2020	Vladimir Dokchitser Robert Evans Hanneke Wiersema
+	Tate module and bad reduction	2020	Tim Dokchitser Vladimir Dokchitser Adam Morgan
+	A user's guide to the local arithmetic of hyperelliptic curves	2020	Alex J. Best L. Alexander Betts Matthew Bisatt Raymond van Bommel Vladimir Dokchitser Omri Faraggi Sabrina Kunzweiler Céline Maistret Adam Morgan Simone Muselli
+	Constructing hyperelliptic curves with surjective Galois representations	2019	Samuele Anni Vladimir Dokchitser
+	On a BSD-type formula for L-values of Artin twists of elliptic curves	2019	Vladimir Dokchitser Robert Evans Hanneke Wiersema
+ PDF Chat	Semistable types of hyperelliptic curves	2019	Tim Dokchitser Vladimir Dokchitser Céline Maistret Adam Morgan
+	On a BSD-type formula for L-values of Artin twists of elliptic curves	2019	Vladimir Dokchitser R. L. Evans Hanneke Wiersema
+	Parity conjecture for abelian surfaces	2019	Vladimir Dokchitser Céline Maistret
+	Tate module and bad reduction	2018	Tim Dokchitser Vladimir Dokchitser Adam Morgan
+ PDF Chat	On the Birch-Swinnerton-Dyer conjecture and Schur indices	2018	Matthew Bisatt Vladimir Dokchitser
+ PDF Chat	Variation of Tamagawa numbers of semistable abelian varieties in field extensions	2018	L. Alexander Betts Vladimir Dokchitser Vladimir Dokchitser Adam Morgan
+	Tate module and bad reduction	2018	Tim Dokchitser Vladimir Dokchitser Adam Morgan
+	Arithmetic of hyperelliptic curves over local fields	2018	Tim Dokchitser Vladimir Dokchitser Céline Maistret Adam Morgan
+ PDF Chat	Quotients of hyperelliptic curves and Étale cohomology	2017	Tim Dokchitser Vladimir Dokchitser
+	Semistable types of hyperelliptic curves	2017	Tim Dokchitser Vladimir Dokchitser Céline Maistret Adam Morgan
+	Constructing hyperelliptic curves with surjective Galois representations	2017	Samuele Anni Vladimir Dokchitser
+	Arithmetic of hyperelliptic curves over local fields	2017	Céline Maistret Tim Dokchitser Vladimir Dokchitser Adam Morgan
+	Hyperelliptic curves in odd residue characteristic	2017	Céline Maistret Tim Dokchitser Vladimir Dokchitser Adam Morgan
+	Semistable types of hyperelliptic curves	2017	Tim Dokchitser Vladimir Dokchitser Céline Maistret Adam Morgan
+	Constructing hyperelliptic curves with surjective Galois representations	2017	Samuele Anni Vladimir Dokchitser
+	Quotients of hyperelliptic curves and etale cohomology	2015	Tim Dokchitser Vladimir Dokchitser
+ PDF Chat	Growth of in towers for isogenous curves	2015	Tim Dokchitser Vladimir Dokchitser
+	Quotients of hyperelliptic curves and etale cohomology	2015	Tim Dokchitser Vladimir Dokchitser
+	Local invariants of isogenous elliptic curves	2014	Tim Dokchitser Vladimir Dokchitser
+	l-adic representations and their associated invariants	2014	Vladimir Dokchitser Samuele Anni
+	Finite quotients of Z[C_n]-lattices and Tamagawa numbers of semistable abelian varieties	2014	L. Alexander Betts Vladimir Dokchitser
+ PDF Chat	Euler factors determine local Weil representations	2014	Tim Dokchitser Vladimir Dokchitser
+	Finite quotients of Z[C_n]-lattices and Tamagawa numbers of semistable abelian varieties	2014	L. Alexander Betts Vladimir Dokchitser
+	l-Adic Representations and their Associated Invariants	2014	Vladimir Dokchitser Samuele Anni
+ PDF Chat	Identifying Frobenius elements in Galois groups	2013	Tim Dokchitser Vladimir Dokchitser
+ PDF Chat	A remark on Tate's algorithm and Kodaira types	2013	Tim Dokchitser Vladimir Dokchitser
+	Algebra & Number Theory	2013	Tim Dokchitser Vladimir Dokchitser
+	Local invariants of isogenous elliptic curves	2012	Tim Dokchitser Vladimir Dokchitser
+	Local invariants of isogenous elliptic curves	2012	Tim Dokchitser Vladimir Dokchitser
+	Euler factors determine local Weil representations	2011	Tim Dokchitser Vladimir Dokchitser
+ PDF Chat	Surjectivity of mod 2 n representations of elliptic curves	2011	Tim Dokchitser Vladimir Dokchitser
+	A note on the Mordell–Weil rank modulo n	2011	Tim Dokchitser Vladimir Dokchitser
+ PDF Chat	Root numbers and parity of ranks of elliptic curves	2011	Tim Dokchitser Vladimir Dokchitser
+	Euler factors determine local Weil representations	2011	Tim Dokchitser Vladimir Dokchitser
+	Identifying Frobenius elements in Galois groups	2010	Tim Dokchitser Vladimir Dokchitser
+ PDF Chat	On the Birch-Swinnerton-Dyer quotients modulo squares	2010	Tim Dokchitser Vladimir Dokchitser
+	Identifying Frobenius elements in Galois groups	2010	Tim Dokchitser Vladimir Dokchitser
+ PDF Chat	A note on Larsen's conjecture and ranks of elliptic curves	2009	Tim Dokchitser Vladimir Dokchitser
+ PDF Chat	Regulator constants and the parity conjecture	2009	Tim Dokchitser Vladimir Dokchitser
+ PDF Chat	Elliptic curves with all quadratic twists of positive rank	2009	Tim Dokchitser Vladimir Dokchitser
+ PDF Chat	Self-duality of Selmer groups	2008	Tim Dokchitser Vladimir Dokchitser
+ PDF Chat	Root numbers of elliptic curves in residue characteristic 2	2008	Tim Dokchitser Vladimir Dokchitser
+	A NOTE ON LARSEN'S CONJECTURE AND RANKS OF	2008	Vladimir Dokchitser
+	Parity of ranks for elliptic curves with a cyclic isogeny	2007	Tim Dokchitser Vladimir Dokchitser
+ PDF Chat	Algebraicity of <i>L</i>-values for elliptic curves in a false Tate curve tower	2007	Thanasis Bouganis Vladimir Dokchitser
+ PDF Chat	Computations in non-commutative Iwasawa theory	2006	Tim Dokchitser Vladimir Dokchitser J. Coates R. Sujatha
+	Root numbers of non-abelian twists of elliptic curves	2005	Vladimir Dokchitser

Common Coauthors

Coauthor	Papers Together
Tim Dokchitser	38
Céline Maistret	11
Adam Morgan	10
Adam Morgan	6
Samuele Anni	5
Hanneke Wiersema	3
Matthew Bisatt	3
Raymond van Bommel	3
L. Alexander Betts	3
Alex J. Best	2
Lilybelle Cowland Kellock	2
Simone Muselli	2
Robert Evans	2
Sabrina Kunzweiler	2
Omri Faraggi	2
L. Alexander Betts	2
Alexandros Konstantinou	1
Thanasis Bouganis	1
R. L. Evans	1
J. Coates	1
Elisa Lorenzo García	1
Jordan Docking	1
R. Sujatha	1
Sarah Nowell	1
Sarah Nowell	1
Holly Green	1
Reynald Lercier	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Advanced Topics in the Arithmetic of Elliptic Curves	1994	Joseph H. Silverman	15
+ PDF Chat	Regulator constants and the parity conjecture	2009	Tim Dokchitser Vladimir Dokchitser	12
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	12
+	Galois theory, elliptic curves, and root numbers	1996	David E. Rohrlich	12
+ PDF Chat	On the Birch-Swinnerton-Dyer quotients modulo squares	2010	Tim Dokchitser Vladimir Dokchitser	11
+	Root numbers of non-abelian twists of elliptic curves	2005	Vladimir Dokchitser	10
+	Parity of ranks for elliptic curves with a cyclic isogeny	2007	Tim Dokchitser Vladimir Dokchitser	10
+	Good Reduction of Abelian Varieties	1968	Jean-Pierre Serre John Tate	10
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	9
+ PDF Chat	Root numbers, Selmer groups, and non-commutative Iwasawa theory	2009	John Coates Takako Fukaya Kazuya Katô R. Sujatha	9
+	Elliptic curves and local $\epsilon $-factors	1982	Kenneth Kramer Jerrold B. Tunnell	8
+	Linear Representations of Finite Groups	1977	Jean-Pierre Serre	7
+	Modeles de neron et monodromie	1972	Alexandre Grothendieck M. Raynaud	7
+	Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques	1971	Jean-Pierre Serre	7
+	The local root number of elliptic curves with wild ramification	2002	Shin-ichi Kobayashi	7
+	Abelian l-Adic Representations and Elliptic Curves	1997	Jean-Pierre Serre	6
+ PDF Chat	COMPUTING<i>L</i>-FUNCTIONS AND SEMISTABLE REDUCTION OF SUPERELLIPTIC CURVES	2016	Irene I. Bouw Stefan Wewers	6
+ PDF Chat	Root numbers and parity of ranks of elliptic curves	2011	Tim Dokchitser Vladimir Dokchitser	6
+	Arithmetic of hyperelliptic curves over local fields	2017	Céline Maistret Tim Dokchitser Vladimir Dokchitser Adam Morgan	6
+	Generalizing the birch-stephens theorem	1996	Paul Monsky	5
+ PDF Chat	Modèles entiers des courbes hyperelliptiques sur un corps de valuation discrète	1996	Qing Liu	5
+ PDF Chat	Root numbers of elliptic curves in residue characteristic 2	2008	Tim Dokchitser Vladimir Dokchitser	5
+ PDF Chat	Root numbers of abelian varieties	2007	Maria Sabitova	5
+ PDF Chat	The Cassels-Tate Pairing on Polarized Abelian Varieties	1999	Bjorn Poonen Michael Stoll	5
+	Generalizing the Birch–Stephens theorem I. Modular curves	1996	Paul Monsky	5
+	On the conjectures of Birch and Swinnerton-Dyer and a geometric analog	1966	John Tate	5
+ PDF Chat	On the parity of ranks of Selmer groups IV. With an appendix by Jean-Pierre Wintenberger	2009	Jan Nekovář	4
+	Signes locaux des courbes elliptiques en 2 et 3	1998	Emmanuel Halberstadt	4
+	The complete classification of fibres in pencils of curves of genus two	1973	Yukihiko Namikawa Kenji Ueno	4
+ PDF Chat	Conjectures concerning elliptic curves	1967	N. M. Stephens	4
+ PDF Chat	The parity conjecture for elliptic curves at supersingular reduction primes	2007	Byoung Du Kim	4
+ PDF Chat	Self-duality of Selmer groups	2008	Tim Dokchitser Vladimir Dokchitser	4
+ PDF Chat	Euler factors determine local Weil representations	2014	Tim Dokchitser Vladimir Dokchitser	4
+ PDF Chat	Elliptic curves with all quadratic twists of positive rank	2009	Tim Dokchitser Vladimir Dokchitser	4
+	Class Groups and Selmer Groups	1996	Edward F. Schaefer	4
+	Completely faithful Selmer groups over Kummer extensions	2003	Yoshitaka Hachimori Otmar Venjakob	4
+	Elliptic curves and the Weil-Deligne group	1994	David E. Rohrlich	4
+ PDF Chat	The irreducibility of the space of curves of given genus	1969	Pierre Deligne D. Mumford	3
+	Formelle standardmodelle hyperelliptischer Kurven	1980	Siegfried Bosch	3
+ PDF Chat	On the arithmetic of abelian varieties	1972	J. S. Milne	3
+	Variation of the root number in families of elliptic curves	1993	David E. Rohrlich	3
+	Sur le défaut de semi-stabilité des courbes elliptiques à réduction additive	1990	Alain Kraus	3
+	Numerical tests of modularity	2005	Andrew R. Booker	3
+ PDF Chat	Galois invariance of local root numbers	2010	David E. Rohrlich	3
+ PDF Chat	On the parity of ranks of Selmer groups II	2001	Jan Nekovář	3
+ PDF Chat	Growth of in towers for isogenous curves	2015	Tim Dokchitser Vladimir Dokchitser	3
+ PDF Chat	The GL2 Main Conjecture for Elliptic Curves without Complex Multiplication	2005	John Coates Takako Fukaya Kazuya Katô R. Sujatha Otmar Venjakob	3
+	On the functional equation of the ArtinL-function for characters of real representations	1973	A. Fröhlich Jacques Queyrut	3
+	The parity of the rank of the mordell-weil group	1966	B. J. Birch N. M. Stephens	3
+	Correspondances de Shimura et quaternions	1991	Jean-Loup Waldspurger	3