On a morphism of compactifications of moduli schemes of vector bundes
Algebraic Geometry
2014-12-08 v4
Abstract
A morphism of nonreduced Gieseker - Maruyama functor (of semistable coherent torsion-free sheaves) on a surface to the nonreduced functor of admissible semistable pairs with the same Hilbert polynomial, is constructed. This leads to the morphism of moduli schemes with possibly nonreduced scheme structures. As usually, we consider subfunctors corresponding to main components of moduli schemes.
Keywords
Cite
@article{arxiv.1308.0111,
title = {On a morphism of compactifications of moduli schemes of vector bundes},
author = {Nadezda Timofeeva},
journal= {arXiv preprint arXiv:1308.0111},
year = {2014}
}
Comments
14 pages. Minor correction in the final of the proof of lemma 1. Reference added. Others is literally the same