Finiteness for self-dual classes in integral variations of Hodge structure
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Soggetti: | |
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| _version_ | 1866918483102531584 |
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| author | Bakker, Benjamin Grimm, Thomas W. Schnell, Christian Tsimerman, Jacob |
| author_facet | Bakker, Benjamin Grimm, Thomas W. Schnell, Christian Tsimerman, Jacob |
| contents | We generalize the finiteness theorem for the locus of Hodge classes with fixed self-intersection number, due to Cattani, Deligne, and Kaplan, from Hodge classes to self-dual classes. The proof uses the definability of period mappings in the o-minimal structure $\mathbb{R}_{\mathrm{an},\exp}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_06995 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Finiteness for self-dual classes in integral variations of Hodge structure Bakker, Benjamin Grimm, Thomas W. Schnell, Christian Tsimerman, Jacob Algebraic Geometry High Energy Physics - Theory We generalize the finiteness theorem for the locus of Hodge classes with fixed self-intersection number, due to Cattani, Deligne, and Kaplan, from Hodge classes to self-dual classes. The proof uses the definability of period mappings in the o-minimal structure $\mathbb{R}_{\mathrm{an},\exp}$. |
| title | Finiteness for self-dual classes in integral variations of Hodge structure |
| topic | Algebraic Geometry High Energy Physics - Theory |
| url | https://arxiv.org/abs/2112.06995 |