2001/12/11 by Tomás L. Gómez, Tomas L. Gomez, Gomez, Tomas L. +2
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #math.AG #msc:14D20 #msc:14D22
paper · pdf · doi:10.48550/arxiv.math/0112096
10 pages, LaTeX2e. Submitted to the conference proceedings of "Commutative Algebra and Algebraic Geometry", Catania, April 2001
arxiv created 2001/12/11 · arxiv updated 2009/11/30
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.