Ekedahl-Oort types of stable curves
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866915747986407424 |
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| author | Dragutinović, Dušan |
| author_facet | Dragutinović, Dušan |
| contents | We extend Moonen's definition of Ekedahl-Oort types of smooth curves in terms of Hasse-Witt triples to all stable curves and show that it matches Ekedahl and van der Geer's definition of Ekedahl-Oort types of their generalized Jacobians as semi-abelian varieties. Using this intrinsic insight, we can compute the dimensions of certain Ekedahl-Oort loci of curves and generalize some previously known results about the dimensions of the $p$-rank and $a$-number loci of curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_13445 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Ekedahl-Oort types of stable curves Dragutinović, Dušan Algebraic Geometry Number Theory We extend Moonen's definition of Ekedahl-Oort types of smooth curves in terms of Hasse-Witt triples to all stable curves and show that it matches Ekedahl and van der Geer's definition of Ekedahl-Oort types of their generalized Jacobians as semi-abelian varieties. Using this intrinsic insight, we can compute the dimensions of certain Ekedahl-Oort loci of curves and generalize some previously known results about the dimensions of the $p$-rank and $a$-number loci of curves. |
| title | Ekedahl-Oort types of stable curves |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2307.13445 |