Q-factoriality and Hodge-Du Bois theory
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908500925349888 |
|---|---|
| author | Park, Sung Gi Popa, Mihnea |
| author_facet | Park, Sung Gi Popa, Mihnea |
| contents | We prove Hodge-theoretic formulas for the $\mathbb{Q}$-factoriality defect of a normal projective variety, and for the local analytic $\mathbb{Q}$-factoriality defect of an analytic germ of a normal variety. These formulas lead to consequences ranging from a local analytic version of Samuel's conjecture to a characterization of projective rational homology threefolds with rational singularities, or the invariance of Hodge-Du Bois numbers under flops of projective threefolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17748 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Q-factoriality and Hodge-Du Bois theory Park, Sung Gi Popa, Mihnea Algebraic Geometry 14B05, 14C30, 14F10, 32S35 We prove Hodge-theoretic formulas for the $\mathbb{Q}$-factoriality defect of a normal projective variety, and for the local analytic $\mathbb{Q}$-factoriality defect of an analytic germ of a normal variety. These formulas lead to consequences ranging from a local analytic version of Samuel's conjecture to a characterization of projective rational homology threefolds with rational singularities, or the invariance of Hodge-Du Bois numbers under flops of projective threefolds. |
| title | Q-factoriality and Hodge-Du Bois theory |
| topic | Algebraic Geometry 14B05, 14C30, 14F10, 32S35 |
| url | https://arxiv.org/abs/2508.17748 |