On Harder-Narasimhan slopes of direct images
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911780541825024 |
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| author | Finski, Siarhei |
| author_facet | Finski, Siarhei |
| contents | For a polarized family of complex projective manifolds, we study the asymptotic distribution of Harder-Narasimhan slopes of direct image sheaves associated with high tensor powers of the polarization. We establish a theorem of Mehta-Ramanathan type, showing that this asymptotic distribution can be recovered from the analogous asymptotic distributions associated with base changes of the family over generic curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08554 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Harder-Narasimhan slopes of direct images Finski, Siarhei Algebraic Geometry Differential Geometry 14D06, 14J60, 32Q26, 53C07 For a polarized family of complex projective manifolds, we study the asymptotic distribution of Harder-Narasimhan slopes of direct image sheaves associated with high tensor powers of the polarization. We establish a theorem of Mehta-Ramanathan type, showing that this asymptotic distribution can be recovered from the analogous asymptotic distributions associated with base changes of the family over generic curves. |
| title | On Harder-Narasimhan slopes of direct images |
| topic | Algebraic Geometry Differential Geometry 14D06, 14J60, 32Q26, 53C07 |
| url | https://arxiv.org/abs/2402.08554 |