Shatz strata in algebraic versal deformation spaces
Algebraic Geometry
2022-07-26 v1
Abstract
Over a smooth complex projective curve, we study an algebraic versal deformation space with fixed determinant of a coherent sheaf. The algebraic versal deformation space decomposes into a disjoint union of Shatz strata, namely locally closed subschemes which parametrize coherent sheaves with common Harder-Narasimhan types. We study the geometry and local topology of large unstable strata and their behavior along boundaries.
Cite
@article{arxiv.2207.11853,
title = {Shatz strata in algebraic versal deformation spaces},
author = {Yinbang Lin},
journal= {arXiv preprint arXiv:2207.11853},
year = {2022}
}
Comments
13 pages, 3 figures