On Punctual Quot Schemes for Algebraic Surfaces
alg-geom
2008-02-03 v3 Algebraic Geometry
Abstract
The punctual Quot scheme parametrizes all length d quotients of a (locally) trivial rank r sheaf which are supported at a fixed point. The author shows that this scheme is irreducible and (rd-1)-dimensional. The same result was proved independently by Ellingsrud and Lehn.
Cite
@article{arxiv.alg-geom/9703038,
title = {On Punctual Quot Schemes for Algebraic Surfaces},
author = {Vladimir Baranovsky},
journal= {arXiv preprint arXiv:alg-geom/9703038},
year = {2008}
}
Comments
Latex2e, amssymb, amsmath packages; 4 pages. Proofs simplified