Local-global principle for leaf schemes
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912246461890560 |
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| author | Movasati, Hossein |
| author_facet | Movasati, Hossein |
| contents | We study Hodge loci as leaf schemes of foliations. The main ingredient is the Gauss-Manin connection matrix of families of projective varieties. We also aim to investigate a conjecture on the ring of definition of leaf schemes and its consequences such as the algebraicity of leaf schemes (Cattani-Deligne-Kaplan theorem in the case of Hodge loci). This conjecture is a consequence of a local-global principle for leaf schemes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11188 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local-global principle for leaf schemes Movasati, Hossein Algebraic Geometry Complex Variables Number Theory We study Hodge loci as leaf schemes of foliations. The main ingredient is the Gauss-Manin connection matrix of families of projective varieties. We also aim to investigate a conjecture on the ring of definition of leaf schemes and its consequences such as the algebraicity of leaf schemes (Cattani-Deligne-Kaplan theorem in the case of Hodge loci). This conjecture is a consequence of a local-global principle for leaf schemes. |
| title | Local-global principle for leaf schemes |
| topic | Algebraic Geometry Complex Variables Number Theory |
| url | https://arxiv.org/abs/2408.11188 |