Stable points on algebraic stacks

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2 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)257-299
Number of pages43
JournalAdvances in Mathematics
Issue number1
Publication statusPublished - 2010 Jan 15


  • Algebraic stack
  • Coarse moduli space
  • Stability


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