Study of some orthosymplectic Springer fibers
Representation Theory
2010-03-01 v1 Algebraic Geometry
Abstract
We decompose the fibers of the Springer resolution for the odd nilcone of the Lie superalgebra into locally closed subsets. We use this decomposition to prove that almost all fibers are connected. However, in contrast with the classical Springer fibers, we prove that the fibers can be disconnected and non equidimensional.
Keywords
Cite
@article{arxiv.1002.4983,
title = {Study of some orthosymplectic Springer fibers},
author = {Séverine Leidwanger and Nicolas Perrin},
journal= {arXiv preprint arXiv:1002.4983},
year = {2010}
}