Hodge symmetry and Lefschetz theorems for singular varieties
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916916866580480 |
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| author | Park, Sung Gi Popa, Mihnea |
| author_facet | Park, Sung Gi Popa, Mihnea |
| contents | We prove new results concerning the topology and Hodge theory of singular varieties. A common theme is that concrete conditions on the complexity of the singularities, from a number of different perspectives, are closely related to the symmetries of the Hodge-Du Bois diamond. We relate this to the theory of rational homology manifolds, and characterize these among low-dimensional varieties with rational singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15638 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hodge symmetry and Lefschetz theorems for singular varieties Park, Sung Gi Popa, Mihnea Algebraic Geometry 14B05, 14C30, 14F10, 32S35 We prove new results concerning the topology and Hodge theory of singular varieties. A common theme is that concrete conditions on the complexity of the singularities, from a number of different perspectives, are closely related to the symmetries of the Hodge-Du Bois diamond. We relate this to the theory of rational homology manifolds, and characterize these among low-dimensional varieties with rational singularities. |
| title | Hodge symmetry and Lefschetz theorems for singular varieties |
| topic | Algebraic Geometry 14B05, 14C30, 14F10, 32S35 |
| url | https://arxiv.org/abs/2410.15638 |