Study of some orthosymplectic Springer fibers

Séverine Leidwanger; Nicolas Perrin

doi:10.1016/j.jalgebra.2011.03.011

Study of some orthosymplectic Springer fibers

Séverine Leidwanger
, Nicolas Perrin

Université Denis Diderot
Université Paris Cité
University Bonn

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	83-95
Nombre de pages	13
journal	Journal of Algebra
Volume	335
Numéro de publication	1
Les DOIs	https://doi.org/10.1016/j.jalgebra.2011.03.011
état	Publié - 1 juin 2011
Modification externe	Oui

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10.1016/j.jalgebra.2011.03.011

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title = "Study of some orthosymplectic Springer fibers",

abstract = "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.",

keywords = "Odd nilpotent orbits, Springer fibers",

author = "S{\'e}verine Leidwanger and Nicolas Perrin",

year = "2011",

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AU - Perrin, Nicolas

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AB - 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.

KW - Odd nilpotent orbits

KW - Springer fibers

U2 - 10.1016/j.jalgebra.2011.03.011

DO - 10.1016/j.jalgebra.2011.03.011

M3 - Article

AN - SCOPUS:79955153503

SN - 0021-8693

VL - 335

SP - 83

EP - 95

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

Study of some orthosymplectic Springer fibers

Résumé

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