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 Paris Cité
University Bonn

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	83-95
Number of pages	13
Journal	Journal of Algebra
Volume	335
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2011.03.011
Publication status	Published - 1 Jun 2011
Externally published	Yes

Keywords

Odd nilpotent orbits
Springer fibers

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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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T1 - Study of some orthosymplectic Springer fibers

AU - Leidwanger, Séverine

AU - Perrin, Nicolas

PY - 2011/6/1

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N2 - 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.

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

Abstract

Keywords

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