Semistable reduction of abelian varieties over extensions of small degree

A. Silverberg; Yu G. Zarhin

doi:10.1016/S0022-4049(98)80026-1

Semistable reduction of abelian varieties over extensions of small degree

A. Silverberg
, Yu G. Zarhin

Mathematics

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

4 Scopus citations

Abstract

We obtain necessary and sufficient conditions for abelian varieties to acquire semistable reduction over fields of low degree. Our criteria are expressed in terms of torsion points of small order defined over unramified extensions.

Original language	English (US)
Pages (from-to)	179-193
Number of pages	15
Journal	Journal of Pure and Applied Algebra
Volume	132
Issue number	2
DOIs	https://doi.org/10.1016/S0022-4049(98)80026-1
State	Published - Nov 10 1998

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/S0022-4049(98)80026-1

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title = "Semistable reduction of abelian varieties over extensions of small degree",

abstract = "We obtain necessary and sufficient conditions for abelian varieties to acquire semistable reduction over fields of low degree. Our criteria are expressed in terms of torsion points of small order defined over unramified extensions.",

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

note = "Funding Information: * Correspondence author. E-mail: [email protected] {\textquoteright} Partially supported by the National Security Agency. * Partially supported by the National Science Foundation.",

year = "1998",

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doi = "10.1016/S0022-4049(98)80026-1",

language = "English (US)",

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T1 - Semistable reduction of abelian varieties over extensions of small degree

AU - Silverberg, A.

AU - Zarhin, Yu G.

N1 - Funding Information: * Correspondence author. E-mail: [email protected] ’ Partially supported by the National Security Agency. * Partially supported by the National Science Foundation.

PY - 1998/11/10

Y1 - 1998/11/10

N2 - We obtain necessary and sufficient conditions for abelian varieties to acquire semistable reduction over fields of low degree. Our criteria are expressed in terms of torsion points of small order defined over unramified extensions.

AB - We obtain necessary and sufficient conditions for abelian varieties to acquire semistable reduction over fields of low degree. Our criteria are expressed in terms of torsion points of small order defined over unramified extensions.

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U2 - 10.1016/S0022-4049(98)80026-1

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M3 - Article

AN - SCOPUS:0032505935

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JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 2

ER -

Semistable reduction of abelian varieties over extensions of small degree

Abstract

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