@article{398602df1dfd4077bbe1d928780adcfb,
title = "Stable points on algebraic stacks",
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.",
keywords = "Algebraic stack, Coarse moduli space, Stability",
author = "Isamu Iwanari",
note = "Funding Information: 1 The author is supported by Grand-in-Aid for JSPS. Funding Information: I would like to thank H. Minamoto who helped me to prove some lemmas and S. Mori who asked me the properties of coarse moduli maps and it led me to Section 7. I wish to express my gratitude to J. Alper for his helpful comments and to the referee for valuable comments and suggestions. I would also like to acknowledge a great intellectual debt to the works of various authors, though it is difficult to fully acknowledge them here. Finally, I am grateful to the support by JSPS grant.",
year = "2010",
month = jan,
day = "15",
doi = "10.1016/j.aim.2009.08.007",
language = "English",
volume = "223",
pages = "257--299",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
number = "1",
}