Singularities of closures of spherical $B$-conjugacy classes of nilpotent orbits
Algebraic Geometry
2016-04-11 v2 Representation Theory
Abstract
We prove that for a simply laced group, the closure of the Borel conjugacy class of any nilpotent element of height in its conjugacy class is normal and admits a rational resolution. We extend this, using Frobenius splitting techniques, to the closure in the whole Lie algebra if either the group has type or the element has rank .
Keywords
Cite
@article{arxiv.1412.5654,
title = {Singularities of closures of spherical $B$-conjugacy classes of nilpotent orbits},
author = {Martin Bender and Nicolas Perrin},
journal= {arXiv preprint arXiv:1412.5654},
year = {2016}
}
Comments
23 pages. Replaces arXiv:1412.5654. New results added