Hodge theory, algebraic cycles of hyper-Kähler manifolds
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2024
- DOI:
- 10.48550/arXiv.2407.19488
- arXiv:
- arXiv:2407.19488
- Bibcode:
- 2024arXiv240719488B
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- This submission represents the complete version of my PhD thesis. The HAL reference is tel-04631604. It contains my earlier publications listed on arXiv with identifiers 2203.06242, 2210.12455, and 2404.10138. Beyond that, new material can be found in Sections 2.1, 3.1, 3.5, and 4.4, which justifies this arXiv submission