Selmer group

Results: 26



#Item
11Quadratic forms / Algebraic curves / Field theory / Polynomials / Algebraic number theory / Hyperelliptic curve / Elliptic curve / Algebraic number field / Discriminant / Abstract algebra / Algebra / Mathematics

The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point Manjul Bhargava and Benedict H. Gross February 20, 2013 Abstract We prove that when all hyperelliptic curves

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Source URL: www.math.harvard.edu

Language: English - Date: 2013-02-20 12:09:35
12Number 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

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

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Source URL: arxiv.org

Language: English - Date: 2013-12-31 01:15:54
13Number 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

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

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Source URL: arxiv.org

Language: English - Date: 2013-12-31 01:15:54
14Analytic number theory / Elliptic curve / Group theory

SELMER COMPANION CURVES BARRY MAZUR AND KARL RUBIN Abstract. We say that two elliptic curves E1 , E2 over a number field K are n-Selmer companions for a positive integer n if for every quadratic character χ

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Source URL: abel.math.harvard.edu

Language: English - Date: 2012-03-09 13:52:58
15Algebraic number theory / Number theorists / Class field theory / Field theory / Iwasawa theory / Galois module / Number theory / Selmer group / Abstract algebra / Mathematics / Algebra

CURRICULUM VITAE Jan Nekov´ aˇ

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Source URL: www.math.jussieu.fr

Language: English - Date: 2013-09-03 09:39:33
16Algebra / Representation theory of Lie groups / Operator theory / Ordinary differential equations / Lie algebras / Spectral theory of ordinary differential equations / Decomposition of spectrum / Abstract algebra / Spectral theory / Mathematical analysis

Surjectivity of the global-to-local map defining a Selmer group Ralph Greenberg† In memory of Masayoshi Nagata 1

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Source URL: www.math.washington.edu

Language: English - Date: 2010-02-19 19:08:12
17Number theory / Galois theory / Algebraic number theory / Group theory / Elliptic curve / Algebraic number field / Galois module / Selmer group / Iwasawa theory / Abstract algebra / Algebra / Field theory

Proceedings of the International Congress of Mathematicians Hyderabad, India, 2010 Selmer Groups and Congruences Ralph Greenberg∗

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Source URL: www.math.washington.edu

Language: English - Date: 2010-07-15 23:20:21
18Selmer group / Iwasawa theory / Samir / Mathematics / Field theory / Cremona

EPSRC Symposium on Number Theory Warwick University[removed]Organisers: John Cremona, Samir Siksek

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Source URL: www2.warwick.ac.uk

Language: English - Date: 2014-03-10 16:48:00
19Analytic number theory / Elliptic curve / Group theory

SELMER COMPANION CURVES BARRY MAZUR AND KARL RUBIN Abstract. We say that two elliptic curves E1 , E2 over a number field K are n-Selmer companions for a positive integer n if for every quadratic character χ

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Source URL: www.math.harvard.edu

Language: English - Date: 2012-03-09 13:52:58
20Algebra / Tate–Shafarevich group / Elliptic curve / Selmer group / Theorem of Bertini / Number theory / Mathematics / Abstract algebra

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

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Source URL: swc.math.arizona.edu

Language: English - Date: 2013-12-17 13:57:57
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