Singular components of Springer fibers in the two-column case

DOI10.5802/aif.2495zbMath1191.14060OpenAlexW2322328947MaRDI QIDQ5897175

Lucas Fresse

Publication date: 22 February 2010

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2009__59_6_2429_0/

zbMATH Keywords

flag varietiesYoung tableauxSpringer fiberssingularity criteria

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items

The components of the singular locus of a component of a Springer fiber over \(x^2 = 0\) ⋮ Patch ideals and Peterson varieties ⋮ Stratification of a singular component of a Springer fiber over \(x^2 = 0\) of the simplest type ⋮ Smooth components of Springer fibers ⋮ A unified approach on Springer fibers in the hook, two-row and two-column cases ⋮ On the singularity of the irreducible components of a Springer fiber in \({\mathfrak{s}\mathfrak{l}_n}\) ⋮ Some characterizations of singular components of Springer fibers in the two-column case ⋮ Springer fiber components in the two columns case for types A and D are normal ⋮ An equivariant basis for the cohomology of Springer fibers ⋮ On the structure of smooth components of Springer fibers

Cites Work

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• Reducibility of the intersections of components of a Springer fiber
• Description of \(\mathbf B\)-orbit closures of order 2 in upper-triangular matrices
• Classes unipotentes et sous-groupes de Borel
• On the topology of components of some Springer fibers and their relation to Kazhdan-Lusztig theory.

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