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

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

5 Citations (Scopus)

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
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
Publication status	Published - 2014
Externally published	Yes

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© 2014 International Press.

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10.4310/MRL.2014.v21.n6.a6

Cite this

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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.\}",

note = "Publisher Copyright: {\textcopyright} 2014 International Press.",

year = "2014",

doi = "10.4310/MRL.2014.v21.n6.a6",

language = "English",

volume = "21",

pages = "1305--1339",

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TY - JOUR

T1 - Average size of 2-Selmer groups of elliptic curves over function fields

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.

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000353048100006

UR - https://openalex.org/W2964093932

UR - https://www.scopus.com/pages/publications/84926475120

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

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

M3 - Journal Article

SN - 1073-2780

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

Abstract

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