Crepant Resolutions of a Slodowy Slice in a Nilpotent Orbit Closure in
Ryo Yamagishi
Kyoto University, Japan
![Crepant Resolutions of a Slodowy Slice in a Nilpotent Orbit Closure in $\mathfrak {sl}_N(\mathbb C)$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-prims-volume-51-issue-3.png&w=3840&q=90)
Abstract
One of our results of this article is that every (projective) crepant resolution of a Slodowy slice in a nilpotent orbit closure in can be obtained as the restriction of some crepant resolution of the nilpotent orbit closure. We also show that there is a decomposition of the Slodowy slice into other Slodowy slices with good properties. From this decomposition, one can count the number of crepant resolutions.
Cite this article
Ryo Yamagishi, Crepant Resolutions of a Slodowy Slice in a Nilpotent Orbit Closure in . Publ. Res. Inst. Math. Sci. 51 (2015), no. 3, pp. 465–488
DOI 10.4171/PRIMS/161