Moduli of G-constellations and crepant resolutions II: the Craw-Ishii conjecture

2022/09/24 by Yamagishi, Ryo
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2209.11901

Abstract

For any given finite subgroup G⊂ SL₃(ℂ), we show that every projective crepant resolution X of the quotient variety ℂ³/G is isomorphic to the moduli space of θ-stable G-constellations for a generic stability condition θ, as conjectured by Craw and Ishii. We also show that generators of the Cox ring of X can be obtained from semi-invariants for representations of the McKay quiver of G.

Related

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