On compactifications of the Steinberg zero-fiber
Algebraic Geometry
2007-05-23 v1 Representation Theory
Abstract
Let G be a connected semisimple linear algebraic group over an algebraically closed field k of positive characteristic and let X denote an equivariant embedding of G. We define a distinguished Steinberg fiber N in G, called the zero-fiber, and prove that the closure of N within X is normal and Cohen-Macaulay. Furthermore, when X is smooth we prove that the closure of N is a local complete intersection.
Cite
@article{arxiv.math/0506348,
title = {On compactifications of the Steinberg zero-fiber},
author = {Thomas Haahr Lynderup and Jesper Funch Thomsen},
journal= {arXiv preprint arXiv:math/0506348},
year = {2007}
}
Comments
18 pages