Isogenies of abelian varieties

A. Silverberg; Yu G. Zarhin

doi:10.1016/0022-4049(93)90133-E

Isogenies of abelian varieties

A. Silverberg
, Yu G. Zarhin

Mathematics

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

3 Scopus citations

Abstract

We discuss the question of when two polarized abelian varieties with partial level structure, which are isogenous and are defined over a given field F, are F-isogenous as abelian varieties without structure.

Original language	English (US)
Pages (from-to)	23-37
Number of pages	15
Journal	Journal of Pure and Applied Algebra
Volume	90
Issue number	1
DOIs	https://doi.org/10.1016/0022-4049(93)90133-E
State	Published - Nov 19 1993

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/0022-4049(93)90133-E

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title = "Isogenies of abelian varieties",

abstract = "We discuss the question of when two polarized abelian varieties with partial level structure, which are isogenous and are defined over a given field F, are F-isogenous as abelian varieties without structure.",

author = "A. Silverberg and Zarhin, \{Yu G.\}",

note = "Funding Information: The work was done while the second author was a Visiting Professor at Ohio State University and a Visiting Scholar at Harvard University; he would like to thank both universities for their hospitality. The first author would like to thank the Alfred P. Sloan Foundation, the NSF, and Ohio State University for financial support.",

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AU - Zarhin, Yu G.

N1 - Funding Information: The work was done while the second author was a Visiting Professor at Ohio State University and a Visiting Scholar at Harvard University; he would like to thank both universities for their hospitality. The first author would like to thank the Alfred P. Sloan Foundation, the NSF, and Ohio State University for financial support.

PY - 1993/11/19

Y1 - 1993/11/19

N2 - We discuss the question of when two polarized abelian varieties with partial level structure, which are isogenous and are defined over a given field F, are F-isogenous as abelian varieties without structure.

AB - We discuss the question of when two polarized abelian varieties with partial level structure, which are isogenous and are defined over a given field F, are F-isogenous as abelian varieties without structure.

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U2 - 10.1016/0022-4049(93)90133-E

DO - 10.1016/0022-4049(93)90133-E

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AN - SCOPUS:38248999983

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SP - 23

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JO - Journal of Pure and Applied Algebra

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IS - 1

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Isogenies of abelian varieties

Abstract

All Science Journal Classification (ASJC) codes

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