Mass formula for supersingular abelian surfaces
Chia-Fu Yu, Jeng-Daw Yu
TL;DR
This paper derives a mass formula for supersingular abelian surfaces in characteristic p, providing a comprehensive count of their isomorphism classes.
Contribution
It introduces a new mass formula applicable to all supersingular abelian surfaces in characteristic p, expanding previous partial results.
Findings
Mass formula for supersingular abelian surfaces established
Provides explicit counts of isomorphism classes
Enhances understanding of supersingular abelian varieties
Abstract
We show a mass formula for arbitrary supersingular abelian surfaces in characteristic .
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Advanced Algebra and Geometry