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arXiv · 1601.05128

On the Craw-Ishii conjecture

Seung-Jo Jung
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Abstract

Craw and Ishii proved that for a finite abelian group G in SL_3(C) every (projective) relative minimal model of C^3/G is isomorphic to the fine moduli space 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 in GL_3(C) if a relative minimal model Y of X=C^3/G is smooth. We prove this for some abelian groups.

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Seung-Jo Jung. 2016-01-19. On the Craw-Ishii conjecture. https://arxiv.org/abs/1601.05128

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