A log resolution for the theta divisor of a hyperelliptic curve
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866913608435236864 |
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| author | Schnell, Christian Yang, Ruijie |
| author_facet | Schnell, Christian Yang, Ruijie |
| contents | In this paper, we prove that the theta divisor of a smooth hyperelliptic curve has a natural and explicit embedded resolution of singularities using iterated blowups of Brill-Noether subvarieties. We also show that the Brill-Noether stratification of the hyperelliptic Jacobian is a Whitney stratification. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_07075 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A log resolution for the theta divisor of a hyperelliptic curve Schnell, Christian Yang, Ruijie Algebraic Geometry 14E15 (primary), 14H42, 14H51 (secondary) In this paper, we prove that the theta divisor of a smooth hyperelliptic curve has a natural and explicit embedded resolution of singularities using iterated blowups of Brill-Noether subvarieties. We also show that the Brill-Noether stratification of the hyperelliptic Jacobian is a Whitney stratification. |
| title | A log resolution for the theta divisor of a hyperelliptic curve |
| topic | Algebraic Geometry 14E15 (primary), 14H42, 14H51 (secondary) |
| url | https://arxiv.org/abs/2206.07075 |