On Harder-Narasimhan slopes of direct images
Algebraic Geometry
2024-02-21 v2 Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.2402.08554,
title = {On Harder-Narasimhan slopes of direct images},
author = {Siarhei Finski},
journal= {arXiv preprint arXiv:2402.08554},
year = {2024}
}
Comments
22 p., minor revision, references to earlier work have been added