Compactified moduli of projective bundles
Algebraic Geometry
2018-06-18 v4 Representation Theory
Abstract
We present a method for compactifying stacks of -torsors (Azumaya algebras) on algebraic spaces. In particular, when the ambient space is a smooth projective surface we use our methods to show that various moduli spaces are irreducible and carry natural virtual fundamental classes. We also prove a version of the Skolem-Noether theorem for certain algebra objects in the derived category, which allows us to give an explicit description of the boundary points in our compactified moduli problem.
Cite
@article{arxiv.0706.1311,
title = {Compactified moduli of projective bundles},
author = {Max Lieblich},
journal= {arXiv preprint arXiv:0706.1311},
year = {2018}
}