Counting the number of the twists of certain polarized abelian varieties

Won Tae Hwang; Keunyoung Jeong

doi:10.1016/j.ffa.2022.102091

Counting the number of the twists of certain polarized abelian varieties

Won Tae Hwang
, Keunyoung Jeong^*

^*Corresponding author for this work

Department of Mathematics

Chonnam National University

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

Abstract

We count the number of isomorphism classes of degree d-twists of some polarized abelian varieties of dimension g over finite fields where either g is an odd prime or else g=2. This can be seen as a higher dimensional analogue of the counting problem for the case of elliptic curves.

Original language	English
Article number	102091
Journal	Finite Fields and their Applications
Volume	83
DOIs	https://doi.org/10.1016/j.ffa.2022.102091
State	Published - 2022.10

Keywords

Galois cohomology
Polarized abelian varieties
Twists

Quacquarelli Symonds(QS) Subject Topics

Computer Science & Information Systems
Mathematics

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10.1016/j.ffa.2022.102091

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title = "Counting the number of the twists of certain polarized abelian varieties",

abstract = "We count the number of isomorphism classes of degree d-twists of some polarized abelian varieties of dimension g over finite fields where either g is an odd prime or else g=2. This can be seen as a higher dimensional analogue of the counting problem for the case of elliptic curves.",

keywords = "Galois cohomology, Polarized abelian varieties, Twists",

author = "Hwang, \{Won Tae\} and Keunyoung Jeong",

note = "Publisher Copyright: {\textcopyright} 2022 The Author(s)",

year = "2022",

month = oct,

doi = "10.1016/j.ffa.2022.102091",

language = "English",

volume = "83",

journal = "Finite Fields and their Applications",

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TY - JOUR

T1 - Counting the number of the twists of certain polarized abelian varieties

AU - Hwang, Won Tae

AU - Jeong, Keunyoung

PY - 2022/10

Y1 - 2022/10

N2 - We count the number of isomorphism classes of degree d-twists of some polarized abelian varieties of dimension g over finite fields where either g is an odd prime or else g=2. This can be seen as a higher dimensional analogue of the counting problem for the case of elliptic curves.

AB - We count the number of isomorphism classes of degree d-twists of some polarized abelian varieties of dimension g over finite fields where either g is an odd prime or else g=2. This can be seen as a higher dimensional analogue of the counting problem for the case of elliptic curves.

KW - Galois cohomology

KW - Polarized abelian varieties

KW - Twists

UR - https://www.scopus.com/pages/publications/85134793659

U2 - 10.1016/j.ffa.2022.102091

DO - 10.1016/j.ffa.2022.102091

M3 - Journal article

AN - SCOPUS:85134793659

SN - 1071-5797

VL - 83

JO - Finite Fields and their Applications

JF - Finite Fields and their Applications

M1 - 102091

ER -

Counting the number of the twists of certain polarized abelian varieties

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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