On the non-Transversality of the Hyperelliptic Locus and the Supersingular Locus for $g=3$
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913783787552768 |
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| author | Pieper, Andreas |
| author_facet | Pieper, Andreas |
| contents | This paper gives a criterion for a moduli point to be a point of non-transversal intersection of the hyperelliptic locus and the supersingular locus in the Siegel moduli stack $\mathfrak{A}_3 \times \mathbb{F}_p$. It is shown that for infinitely many primes $p$ there exists such a point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_03534 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the non-Transversality of the Hyperelliptic Locus and the Supersingular Locus for $g=3$ Pieper, Andreas Algebraic Geometry Number Theory This paper gives a criterion for a moduli point to be a point of non-transversal intersection of the hyperelliptic locus and the supersingular locus in the Siegel moduli stack $\mathfrak{A}_3 \times \mathbb{F}_p$. It is shown that for infinitely many primes $p$ there exists such a point. |
| title | On the non-Transversality of the Hyperelliptic Locus and the Supersingular Locus for $g=3$ |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2308.03534 |