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

Rachel Pries
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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 g-f. We provide complete tables for abelian varieties of dimension up to four.

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Rachel Pries. 2006-09-22. A short guide to p-torsion of abelian varieties in characteristic p. https://arxiv.org/abs/math/0609658

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