On the Craw-Ishii conjecture
Algebraic Geometry
2016-01-21 v1
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.
Cite
@article{arxiv.1601.05128,
title = {On the Craw-Ishii conjecture},
author = {Seung-Jo Jung},
journal= {arXiv preprint arXiv:1601.05128},
year = {2016}
}
Comments
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