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Tate curve
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51	MATHEMATICS OF COMPUTATION Volume 00, Number 0, Pages 000–000 S[removed]XX[removed]EMPIRICAL EVIDENCE FOR THE BIRCH AND SWINNERTON-DYER CONJECTURES FOR MODULAR JACOBIANS OF GENUS 2 CURVES Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic curves Number theory Elliptic curves Diophantine geometry Analytic number theory Birch and Swinnerton-Dyer conjecture Tate–Shafarevich group Abelian variety Modular curve Abstract algebra Algebraic geometry Mathematics
52	Workshop on group schemes and p-divisible groups: Homework[removed]Let A be an abelian variety over a field k with characteristic p > 0 and dimension g > 0. Use the fact that A and A∨ are isogenous to prove that the ´et Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-05-26 17:43:25 Homological algebra Algebraic groups Niels Henrik Abel Scheme theory Group scheme Abelian group Abelian variety Tate module Elliptic curve Abstract algebra Algebra Algebraic geometry
53	Workshop on group schemes and p-divisible groups: Homework[removed]Let K be the fraction field of a complete discrete valuation ring with mixed characteristic (0, p) and perfect residue field. Let K/K be an algebraic closu Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-05-26 17:43:21 Niels Henrik Abel Module theory Algebraic groups Abelian variety Abelian group Tate module Elliptic curve Étale cohomology Torsion Abstract algebra Algebra Homological algebra
54	2014 ARIZONA WINTER SCHOOL COURSE AND PROJECT OUTLINE BJORN POONEN 1. Course outline This course will consist of two roughly independent topics[removed]Bertini theorems and the closed point sieve. The classical Bertini the Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2013-12-17 13:57:57 Algebra Tate–Shafarevich group Elliptic curve Selmer group Theorem of Bertini Number theory Mathematics Abstract algebra
55	Explicit approaches to modular abelian varieties by William Arthur Stein Add to Reading List Source URL: wstein.org Language: English - Date: 2003-09-04 13:16:15 Modular forms Number theory Analytic number theory Algebraic curves Diophantine geometry Hecke operator Tate–Shafarevich group Elliptic curve Birch and Swinnerton-Dyer conjecture Abstract algebra Mathematics Algebraic geometry
56	KEVIN JAMES Assistant Professor Mathematical Sciences Add to Reading List Source URL: www.math.clemson.edu Language: English - Date: 2014-03-12 08:10:06 Analytic number theory Conjectures Elliptic curves Algebraic curves Modular forms Birch and Swinnerton-Dyer conjecture Modular curve Sato–Tate conjecture Number theory Abstract algebra Mathematics Mathematical analysis
57	MAZUR–TATE ELEMENTS OF NON-ORDINARY MODULAR FORMS ROBERT POLLACK AND TOM WESTON Abstract. We establish formulae for the Iwasawa invariants of Mazur–Tate elements of cuspidal eigenforms, generalizing known results in Add to Reading List Source URL: www.math.umass.edu Language: English - Date: 2010-04-23 10:23:41 Representation theory of Lie groups Lie algebras Representation theory of Lie algebras Modular form Elliptic curve Weight Symbol Eigenform Abstract algebra Mathematical analysis Analytic number theory
58	Proceedings of the International Congress of Mathematicians August 16-24, 1983, Warszawa Add to Reading List Source URL: www.mathunion.org Language: English - Date: 2012-04-18 10:41:48 Heegner point Elliptic curve Mordell–Weil theorem Néron–Tate height Complex multiplication Modularity theorem Modular form Algebraic number field Ideal class group Abstract algebra Mathematics Algebraic number theory
59	Weil–Châtelet divisible elements in Tate–Shafarevich groups I: The Bashmakov problem for elliptic curves over Q Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2013-05-24 16:27:49 Group theory Homological algebra Cohomology theories Algebraic number theory Tate–Shafarevich group Étale cohomology Selmer group Elliptic curve Galois module Abstract algebra Algebra Number theory
60	PDF Document Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2011-05-11 12:31:35 Diophantine geometry Conjectures Analytic number theory Elliptic curve Group theory Birch and Swinnerton-Dyer conjecture Néron–Tate height Heegner point Abstract algebra Mathematics Number theory

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