Non-commutative deformations of perverse coherent sheaves and rational curves
Algebraic Geometry
2021-08-31 v2
Abstract
We consider non-commutative deformations of sheaves on algebraic varieties. We develop some tools to determine parameter algebras of versal non-commutative deformations for partial simple collections and the structure sheaves of smooth rational curves. We apply them to universal flopping contractions of length 2 and higher. We confirm Donovan-Wemyss conjecture in the case of deformations of Laufer's flops.
Keywords
Cite
@article{arxiv.2006.09547,
title = {Non-commutative deformations of perverse coherent sheaves and rational curves},
author = {Yujiro Kawamata},
journal= {arXiv preprint arXiv:2006.09547},
year = {2021}
}
Comments
31 pages