Hodge theory, algebraic cycles of hyper-Kähler manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913450236575744 |
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| author | Bai, Chenyu |
| author_facet | Bai, Chenyu |
| contents | This thesis is devoted to the study of algebraic cycles in projective hyper-Kähler manifolds and strict Calabi-Yau manifolds. It contributes to the understanding of Beauville's and Voisin's conjectures on the Chow rings of projective hyper-Kähler manifolds and strict Calabi-Yau manifolds. It also studies some birational invariants of projective hyper-Kähler manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19488 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hodge theory, algebraic cycles of hyper-Kähler manifolds Bai, Chenyu Algebraic Geometry This thesis is devoted to the study of algebraic cycles in projective hyper-Kähler manifolds and strict Calabi-Yau manifolds. It contributes to the understanding of Beauville's and Voisin's conjectures on the Chow rings of projective hyper-Kähler manifolds and strict Calabi-Yau manifolds. It also studies some birational invariants of projective hyper-Kähler manifolds. |
| title | Hodge theory, algebraic cycles of hyper-Kähler manifolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2407.19488 |