Endomorphism algebras of QM abelian surfaces
Chia-Fu Yu
TL;DR
This paper classifies the endomorphism algebras of abelian surfaces that have quaternion multiplication, providing a detailed understanding of their algebraic structures.
Contribution
It explicitly determines the endomorphism algebras for abelian surfaces with quaternion multiplication, a specific class of abelian varieties.
Findings
Complete classification of endomorphism algebras for QM abelian surfaces
Identification of possible algebraic structures in these endomorphisms
Clarification of the relationship between quaternion multiplication and endomorphism algebras
Abstract
We determine endomorphism algebras of abelian surfaces with quaternion multiplication.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Advanced Differential Equations and Dynamical Systems