Blt Azumaya algebras and moduli of maximal orders
Algebraic Geometry
2016-09-16 v2 Rings and Algebras
Abstract
We study moduli spaces of maximal orders in a ramified division algebra over the function field of a smooth projective surface. As in the case of moduli of stable commutative surfaces, we show that there is a Koll\'ar-type condition giving a better moduli problem with the same geometric points: the stack of blt Azumaya algebras. One virtue of this refined moduli problem is that it admits a compactification with a virtual fundamental class.
Keywords
Cite
@article{arxiv.1103.3713,
title = {Blt Azumaya algebras and moduli of maximal orders},
author = {Rajesh S. Kulkarni and Max Lieblich},
journal= {arXiv preprint arXiv:1103.3713},
year = {2016}
}
Comments
14 pages, comments still welcome!