The Torelli locus and Newton polygons
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916927889211392 |
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| author | Pries, Rachel |
| author_facet | Pries, Rachel |
| contents | This manuscript is about abelian varieties that are Jacobians of curves. I started writing it for a lecture series at the Arizona Winter School in 2024 on abelian varieties. A longer more descriptive title might be: The Torelli locus in the moduli space of abelian varieties, with applications to Newton polygons of curves in positive characteristic. To elaborate, this manuscript covers two topics: the first is about the geometry of the Torelli locus; the second is about the arithmetic invariants of abelian varieties that occur for Jacobians of smooth curves in positive characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00998 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Torelli locus and Newton polygons Pries, Rachel Algebraic Geometry Number Theory 11G10, 14H10, 14H40, 14K10, 11G18, 11G20, 11M38, 14K15 This manuscript is about abelian varieties that are Jacobians of curves. I started writing it for a lecture series at the Arizona Winter School in 2024 on abelian varieties. A longer more descriptive title might be: The Torelli locus in the moduli space of abelian varieties, with applications to Newton polygons of curves in positive characteristic. To elaborate, this manuscript covers two topics: the first is about the geometry of the Torelli locus; the second is about the arithmetic invariants of abelian varieties that occur for Jacobians of smooth curves in positive characteristic. |
| title | The Torelli locus and Newton polygons |
| topic | Algebraic Geometry Number Theory 11G10, 14H10, 14H40, 14K10, 11G18, 11G20, 11M38, 14K15 |
| url | https://arxiv.org/abs/2509.00998 |