Coherent Sheaves on Configuration Schemes
Algebraic Geometry
2007-05-23 v1
Abstract
We introduce and study configuration schemes, which are obtained by ``glueing'' usual schemes along closed embeddings. The category of coherent sheaves on a configuration scheme is investigated. Smooth configuration schemes provide alternative ``resolutions of singularities'' of usual singular schemes. We consider in detail the case when the singular scheme is a union of hyperplanes in a projective space.
Cite
@article{arxiv.math/0012061,
title = {Coherent Sheaves on Configuration Schemes},
author = {Valery A. Lunts},
journal= {arXiv preprint arXiv:math/0012061},
year = {2007}
}
Comments
27 pages latex