Varieties of pairs of nilpotent matrices annihilating each other
Representation Theory
2007-05-23 v3 Algebraic Geometry
Abstract
We classify the irreducible components of the varieties V(n,a,b) of pairs (A,B) of matrices of size n such that AB = BA = 0 and A^a = B^b = 0.
Cite
@article{arxiv.math/0211293,
title = {Varieties of pairs of nilpotent matrices annihilating each other},
author = {Jan Schröer},
journal= {arXiv preprint arXiv:math/0211293},
year = {2007}
}
Comments
30 pages. This is an improved version of the originally submitted preprint