Automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields

Won Tae Hwang

doi:10.1016/j.jnt.2019.04.018

Automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields

Won Tae Hwang

Department of Mathematics

Korea Institute for Advanced Study

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

5 Scopus citations

Abstract

We prove that the automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields are cyclic, and give a complete list of finite groups that can be realized as such automorphism groups.

Original language	English
Pages (from-to)	561-578
Number of pages	18
Journal	Journal of Number Theory
Volume	204
DOIs	https://doi.org/10.1016/j.jnt.2019.04.018
State	Published - 2019.11

Keywords

Automorphism groups
Polarized abelian varieties over finite fields

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10.1016/j.jnt.2019.04.018

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title = "Automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields",

abstract = "We prove that the automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields are cyclic, and give a complete list of finite groups that can be realized as such automorphism groups.",

keywords = "Automorphism groups, Polarized abelian varieties over finite fields",

author = "Hwang, \{Won Tae\}",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2019",

month = nov,

doi = "10.1016/j.jnt.2019.04.018",

language = "English",

volume = "204",

pages = "561--578",

journal = "Journal of Number Theory",

issn = "0022-314X",

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TY - JOUR

T1 - Automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields

AU - Hwang, Won Tae

PY - 2019/11

Y1 - 2019/11

N2 - We prove that the automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields are cyclic, and give a complete list of finite groups that can be realized as such automorphism groups.

AB - We prove that the automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields are cyclic, and give a complete list of finite groups that can be realized as such automorphism groups.

KW - Automorphism groups

KW - Polarized abelian varieties over finite fields

UR - https://www.scopus.com/pages/publications/85065927508

U2 - 10.1016/j.jnt.2019.04.018

DO - 10.1016/j.jnt.2019.04.018

M3 - Journal article

AN - SCOPUS:85065927508

SN - 0022-314X

VL - 204

SP - 561

EP - 578

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

Automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields

Abstract

Keywords

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