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Stable points on algebraic stacks

Published 2 Jul 2010 in math.AG | (1007.0299v1)

Abstract: This paper is largely concerned with constructing coarse moduli spaces for Artin stacks. The main purpose of this paper is to introduce the notion of stability on an arbitrary Artin stack and construct a coarse moduli space for the open substack of stable points. Also, we present an application to coherent cohomology of Artin stacks.

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