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TITLE On the Craw-Ishii conjecture
KIAS AUTHORS Jung, Seung-Jo
JOURNAL JOURNAL OF PURE AND APPLIED ALGEBRA, 2018
ARCHIVE  
ABSTRACT In [2], Craw and Ishii proved that for a finite abelian group G subset of SL3(C) every (projective) relative minimal model of C-3/G is isomorphic to the fine moduli space M-theta of theta-stable G -constellations for some GIT parameter theta. In this article, we conjecture that the same is true for a finite group G C GL(3)(C) if a relative minimal model Y of X = C-3/G is smooth. We prove this for some abelian groups. (C) 2017 Elsevier B.V. All rights reserved.
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