Rigidity of modular morphisms via Fujita decomposition
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866908460900155392 |
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| author | Codogni, Giulio González-Alonso, Víctor Torelli, Sara |
| author_facet | Codogni, Giulio González-Alonso, Víctor Torelli, Sara |
| contents | In this note we prove that the Torelli, Prym and Spin-Torelli morphisms, as well as covering maps between moduli stacks of projective curves can not be deformed. The proofs use properties of the Fujita decomposition of the Hodge bundle of families of curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_04525 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Rigidity of modular morphisms via Fujita decomposition Codogni, Giulio González-Alonso, Víctor Torelli, Sara Algebraic Geometry 14H10, 32G20 In this note we prove that the Torelli, Prym and Spin-Torelli morphisms, as well as covering maps between moduli stacks of projective curves can not be deformed. The proofs use properties of the Fujita decomposition of the Hodge bundle of families of curves. |
| title | Rigidity of modular morphisms via Fujita decomposition |
| topic | Algebraic Geometry 14H10, 32G20 |
| url | https://arxiv.org/abs/2305.04525 |