On Harder-Narasimhan slopes of direct images

Autor:	Finski, Siarhei
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry Mathematics - Differential Geometry 14D06 14J60 32Q26 53C07
Druh dokumentu:	Working Paper
Popis:	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. Comment: 22 p., minor revision, references to earlier work have been added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2402.08554 Zobrazit plný text záznamu View this record from Arxiv