Bundles on non-proper schemes: representability
Algebraic Geometry
2008-10-02 v1
Abstract
Let X be a proper scheme over a field k which satisfies Serre's condition S2 and G a reductive group over k. We prove that the functor of principal G-bundles defined away from a non-fixed closed subset in X of codimension at least 3, is an algebraic stack in the sense of Artin.
Cite
@article{arxiv.0810.0091,
title = {Bundles on non-proper schemes: representability},
author = {Vladimir Baranovsky},
journal= {arXiv preprint arXiv:0810.0091},
year = {2008}
}
Comments
15 pages