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arXiv · 2410.15638

Hodge symmetry and Lefschetz theorems for singular varieties

Sung Gi Park·Mihnea Popa
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Abstract

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.

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Sung Gi Park, Mihnea Popa. 2024-10-21. Hodge symmetry and Lefschetz theorems for singular varieties. https://arxiv.org/abs/2410.15638

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