Study of some orthosymplectic Springer fibers

JOURNAL OF ALGEBRA

卷:335

Article

Leidwanger, Severine²  Perrin, Nicolas^1,3 

[1] Univ Bonn, Hausdorff Ctr Math, D-53115 Bonn, Germany

[2] Univ Paris 07, Inst Math Jussieu, UFR Math, F-75205 Paris, France

[3] Univ Paris 06, Inst Math Jussieu, F-75252 Paris 05, France

关键词: Odd nilpotent orbits;    Springer fibers;   

DOI  :  10.1016/j.jalgebra.2011.03.011

来源: Elsevier

【 摘 要 】

We decompose the fibers of the Springer resolution for the odd nilcone of the Lie superalgebra osp(2n + 1, 2n) into smooth 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. (c) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free