论文标题
$ g $ stellations and crepant决议的模量II：craw-ishii猜想
Moduli of $G$-constellations and crepant resolutions II: the Craw-Ishii conjecture
论文作者
论文摘要
对于任何给定的有限亚组$ g \ subset sl_3（\ m马布{c}）$，我们表明，商的每一个投射的毛皮分辨率$ x $ $ x $ $ \ mathbb {c}^3/g $是对$θ$ stable $ g $ go $ craw的moduli space us craw and craw and craw craw and craw and craw and craw and craw and craw ysomorphic ishii。我们还表明，Cox环的发电机可以从半势不动的$ g $的麦凯颤抖中获得。
For any given finite subgroup $G\subset SL_3(\mathbb{C})$, we show that every projective crepant resolution $X$ of the quotient variety $\mathbb{C}^3/G$ 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 $G$.
