Theta Nullvalues of Supersingular Abelian varieties
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866913222545637376 |
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| author | Pieper, Andreas |
| author_facet | Pieper, Andreas |
| contents | Let $η$ be a polarization with connected kernel on a superspecial abelian variety $E^g$. We give a sufficient criterion which allows the computation of the theta nullvalues of any quotient of $E^g$ by a maximal isotropic subgroup scheme of $\ker(η)$ effectively. This criterion is satisfied in many situations studied by Li and Oort. We used our method to implement an algorithm that constructs supersingular curves of genus 3. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_12492 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Theta Nullvalues of Supersingular Abelian varieties Pieper, Andreas Algebraic Geometry Let $η$ be a polarization with connected kernel on a superspecial abelian variety $E^g$. We give a sufficient criterion which allows the computation of the theta nullvalues of any quotient of $E^g$ by a maximal isotropic subgroup scheme of $\ker(η)$ effectively. This criterion is satisfied in many situations studied by Li and Oort. We used our method to implement an algorithm that constructs supersingular curves of genus 3. |
| title | Theta Nullvalues of Supersingular Abelian varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2208.12492 |