Average size of 2-Selmer groups of elliptic curves over function fields

Q. P. Hô; V. B. Lê Hùng; B. C. Ngô

doi:10.4310/MRL.2014.v21.n6.a6

Average size of 2-Selmer groups of elliptic curves over function fields

Q. P. Hô, V. B. Lê Hùng, B. C. Ngô

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Employing a geometric setting inspired by the proof of the Fundamental Lemma, we study some counting problems related to the average size of 2-Selmer groups and hence obtain an estimate for it.

Original language	English (US)
Pages (from-to)	1305-1339
Number of pages	35
Journal	Mathematical Research Letters
Volume	21
Issue number	6
DOIs	https://doi.org/10.4310/MRL.2014.v21.n6.a6
State	Published - 2014

ASJC Scopus subject areas

General Mathematics

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title = "Average size of 2-Selmer groups of elliptic curves over function fields",

abstract = "Employing a geometric setting inspired by the proof of the Fundamental Lemma, we study some counting problems related to the average size of 2-Selmer groups and hence obtain an estimate for it.",

author = "H{\^o}, {Q. P.} and {L{\^e} H{\`u}ng}, {V. B.} and Ng{\^o}, {B. C.}",

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AU - Hô, Q. P.

AU - Lê Hùng, V. B.

AU - Ngô, B. C.

PY - 2014

Y1 - 2014

N2 - Employing a geometric setting inspired by the proof of the Fundamental Lemma, we study some counting problems related to the average size of 2-Selmer groups and hence obtain an estimate for it.

AB - Employing a geometric setting inspired by the proof of the Fundamental Lemma, we study some counting problems related to the average size of 2-Selmer groups and hence obtain an estimate for it.

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U2 - 10.4310/MRL.2014.v21.n6.a6

DO - 10.4310/MRL.2014.v21.n6.a6

M3 - Article

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VL - 21

SP - 1305

EP - 1339

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 6

ER -

Average size of 2-Selmer groups of elliptic curves over function fields

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