Projective moduli space of semistable principal sheaves for a reductive group
Algebraic Geometry
2007-05-23 v1
Abstract
Let X be a smooth projective complex variety, and let G be an algebraic reductive complex group. We define the notion of principal G-sheaf, that generalises the notion of principal G-bundle. Then we define a notion of semistability, and construct the projective moduli space of semistable principal G-sheaves on X. This is a natural compactification of the moduli space of principal G-bundles. This is the announcement note presented by the second author in the conference held at Catania (11-13 April 2001), dedicated to the 60th birthday of Silvio Greco. Detailed proofs will appear elsewhere.
Keywords
Cite
@article{arxiv.math/0112096,
title = {Projective moduli space of semistable principal sheaves for a reductive group},
author = {Tomas L. Gomez and Ignacio Sols},
journal= {arXiv preprint arXiv:math/0112096},
year = {2007}
}
Comments
10 pages, LaTeX2e. Submitted to the conference proceedings of "Commutative Algebra and Algebraic Geometry", Catania, April 2001