Moduli spaces of principal bundles on singular varieties
Algebraic Geometry
2015-03-24 v2
Abstract
Let k be an algebraically closed field of characteristic zero. Let f:X-->S be a flat, projective morphism of k-schemes of finite type with integral geometric fibers. We prove existence of a projective relative moduli space for semistable singular principal bundles on the fibres of f. This generalizes the result of A. Schmitt who studied the case when X is a nodal curve.
Keywords
Cite
@article{arxiv.1108.6165,
title = {Moduli spaces of principal bundles on singular varieties},
author = {Adrian Langer},
journal= {arXiv preprint arXiv:1108.6165},
year = {2015}
}
Comments
25 pages; dedicated to the memory of Professor Masaki Maruyama