On the Craw-Ishii conjecture

2016/01/19 by Jung, Seung-Jo
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1601.05128

Abstract

Craw and Ishii proved that for a finite abelian group G in SL₃(C) every (projective) relative minimal model of C³/G is isomorphic to the fine moduli space of θ-stable G-constellations for some GIT parameter θ. In this article, we conjecture that the same is true for a finite group G in GL₃(C) if a relative minimal model Y of X=C³/G is smooth. We prove this for some abelian groups.

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