3 papers
math.AG2025
Clifford Multiplication on Spinor Abelian Varieties
Ivona Grzegorczyk, Ricardo Suarez
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 $\mathbb{C…
math.AG2025
Complex tori constructed from Cayley-Dickson algebras
Ivona Grzegorczyk, Ricardo Suarez
In this paper we construct complex tori, denoted by , as quotients of tensor products of Cayley--Dickson algebras, denoted $\mathbb{B}_{1,p,q}=\mathbb{C}\ot…
math.AG2024
Group theoretic properties of Clifford multiplication on 2-torsion points on the Dirac Spinor Abelian Variety
Jennifer Brown, Ivona Grzegorczyk, Ricardo Suárez
In this manuscript we consider a special complex torus, denoted (for each ) and called the Dirac spinor torus. It is an Abelian variety…