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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.04328 |
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| _version_ | 1866915570706808832 |
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| author | Grzegorczyk, Ivona Suarez, Ricardo |
| author_facet | Grzegorczyk, Ivona Suarez, Ricardo |
| contents | We define a spinor Abelian variety $S_Δ$ to be a complex Abelian variety whose tangent space at the origin is a space of spinors for a suitable complex Clifford algebra $\mathbb{C}_{q}(V)$. 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 $Pic^{0}(S_Δ)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04328 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Clifford Multiplication on Spinor Abelian Varieties Grzegorczyk, Ivona Suarez, Ricardo Algebraic Geometry We define a spinor Abelian variety $S_Δ$ to be a complex Abelian variety whose tangent space at the origin is a space of spinors for a suitable complex Clifford algebra $\mathbb{C}_{q}(V)$. 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 $Pic^{0}(S_Δ)$. |
| title | Clifford Multiplication on Spinor Abelian Varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2504.04328 |