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Tate–Shafarevich group
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1	ON THE SECOND TATE–SHAFAREVICH GROUP OF A 1–MOTIVE PETER JOSSEN Abstract. We prove finiteness results for Tate–Shafarevich groups in degree 2 associated with 1–motives. We give a number theoretic interpretation o Add to Reading List Source URL: www.jossenpeter.ch Language: English - Date: 2013-02-20 08:24:10
2	673 Documenta Math. Visibility of the Shafarevich–Tate Group at Higher Level Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-02-04 02:32:18 Abstract algebra Algebra Mathematics Analytic number theory Number theory Diophantine geometry Homological algebra Class field theory Galois module Elliptic curve Abelian variety Torsion
3	673 Documenta Math. Visibility of the Shafarevich–Tate Group at Higher Level Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2008-02-04 02:32:18 Analytic number theory Number theory Diophantine geometry Homological algebra Class field theory Galois module Elliptic curve Abelian variety Torsion Hecke operator TateShafarevich group Modular form
4	Visibility of Ideal Classes Ren´e Schoof ∗ Lawrence C. Washington Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2010-09-17 08:27:56 Field theory Algebraic structures Ideal class group Ideals Elliptic curve Tate–Shafarevich group Algebraic number field Field Discriminant of an algebraic number field Abstract algebra Algebra Algebraic number theory
5	William A. Stein – Curriculum Vitae – Oct[removed]0925 Add to Reading List Source URL: interact.sagemath.org Language: English - Date: 2014-10-21 13:26:03 Number theory Diophantine geometry Analytic number theory Elliptic curves Modular forms Birch and Swinnerton-Dyer conjecture Tate–Shafarevich group Heegner point Congruent number Mathematics Abstract algebra Algebraic geometry
6	The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1 arXiv:1312.7859v1 [math.NT] 30 Dec[removed]Manjul Bhargava and Arul Shankar Add to Reading List Source URL: arxiv.org Language: English - Date: 2013-12-31 01:15:54 Number theory Elliptic curves Analytic number theory Group theory Modular forms Birch and Swinnerton-Dyer conjecture Curve J-invariant Tate–Shafarevich group Mathematics Abstract algebra Mathematical analysis
7	Publications [1] M. Flach, Herleitung der Chowla-Selberg Formel aus Shimura’schen Periodenrelationen, Arch. Math[removed]), 418–[removed]] , Periods and special values of the hypergeometric series, Math. Proc. Camb. P Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2011-04-11 21:27:03 Homological algebra Galois theory Matthias Flach Year of birth missing Motive Elliptic curve Tate–Shafarevich group Galois module Abstract algebra Algebra Algebraic geometry
8	The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1 arXiv:1312.7859v1 [math.NT] 30 Dec[removed]Manjul Bhargava and Arul Shankar Add to Reading List Source URL: arxiv.org Language: English - Date: 2013-12-31 01:15:54 Number theory Elliptic curves Analytic number theory Group theory Modular forms Birch and Swinnerton-Dyer conjecture Curve J-invariant Tate–Shafarevich group Mathematics Abstract algebra Mathematical analysis
9	Curriculum Vitae William Gordon McCallum Address Department of Mathematics University of Arizona Add to Reading List Source URL: math.arizona.edu Language: English - Date: 2012-02-04 12:58:19 Pierre de Fermat Tate–Shafarevich group Curve Mathematics Number theorists Calculus
10	ON CERTAIN UNITARY GROUP SHIMURA VARIETIES by Elena Mantovan Abstract. — In this paper, we study the local geometry at a prime p of a certain class of (PEL) Add to Reading List Source URL: www.its.caltech.edu Language: English - Date: 2006-09-05 14:20:40 Algebraic geometry Shimura variety Étale cohomology Elliptic curve Group scheme Galois module Abelian variety Tate–Shafarevich group Barsotti–Tate group Abstract algebra Algebra Homological algebra