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arXiv · 1103.3713

Blt Azumaya algebras and moduli of maximal orders

Rajesh S. Kulkarni·Max Lieblich
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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.

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Rajesh S. Kulkarni, Max Lieblich. 2011-03-18. Blt Azumaya algebras and moduli of maximal orders. https://arxiv.org/abs/1103.3713

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