Clifford Multiplication on Spinor Abelian Varieties
Algebraic Geometry
2025-10-24 v2
Abstract
We define a spinor Abelian variety to be a complex Abelian variety whose tangent space at the origin is a space of spinors for a suitable complex Clifford algebra . We examine intrinsic properties of such varieties and the connection between Clifford multiplication and their endomorphism algebras. We then extend the analysis of Clifford multiplication to the dual torus .
Cite
@article{arxiv.2504.04328,
title = {Clifford Multiplication on Spinor Abelian Varieties},
author = {Ivona Grzegorczyk and Ricardo Suarez},
journal= {arXiv preprint arXiv:2504.04328},
year = {2025}
}