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2008β€’Contemporary mathematics - American Mathematical SocietyRequires access

A short guide to 𝑝-torsion of abelian varieties in characteristic 𝑝

Rachel Pries

Open publisher page 19 citations

Abstract

There are many equivalent ways to describe the p-torsion of a principally polarized abelian variety in characteristic p.We briefly explain these methods and then illustrate them for abelian varieties A of arbitrary dimension g in several important cases, including when A has p-rank f and a-number 1 and when A has p-rank f and a-number gf .We provide complete tables for abelian varieties of dimension up to four.

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There are many equivalent ways to describe the p-torsion of a principally polarized abelian variety in characteristic p.We briefly explain these methods and then illustrate them for abelian varieties A of arbitrary dimension g in several important cases, including when A has p-rank f and a-number 1 and when A has p-rank f and a-number gf .We provide complete tables for abelian varieties of dimension up to four.

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Available abstract

There are many equivalent ways to describe the p-torsion of a principally polarized abelian variety in characteristic p.We briefly explain these methods and then illustrate them for abelian varieties A of arbitrary dimension g in several important cases, including when A has p-rank f and a-number 1 and when A has p-rank f and a-number gf .We provide complete tables for abelian varieties of dimension up to four.

Key concepts: Mathematics, Abelian group, Torsion (gastropod), Pure mathematics, Biology, Zoology

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