Springer fiber components in the two columns case for types A and D are normal

zbMath1268.14006arXiv0907.0607MaRDI QIDQ4907716

Evgeny Smirnov, Nicolas Perrin

Publication date: 22 February 2013

Full work available at URL: https://arxiv.org/abs/0907.0607

zbMATH Keywords

normalityrational singularitiesFrobenius splittingSpringer fiberrational resolution

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Configurations and arrangements of linear subspaces (14N20)

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 ⋮ The geometry and combinatorics of Springer fibers

Cites Work

• Unnamed Item
• Unnamed Item
• 2-block Springer fibers: convolution algebras and coherent sheaves
• Frobenius splitting and geometry of \(G\)-Schubert varieties
• Classes unipotentes et sous-groupes de Borel
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• On the topology of components of some Springer fibers and their relation to Kazhdan-Lusztig theory.
• Frobenius splitting methods in geometry and representation theory
• Kac-Moody groups, their flag varieties and representation theory
• On Frobenius splitting of orbit closures of spherical subgroups in flag varieties
• Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen
• Désingularisation des variétés de Schubert généralisées
• Singular components of Springer fibers in the two-column case
• Singular components of Springer fibers in the two-column case
• On the singularity of the irreducible components of a Springer fiber in \({\mathfrak{s}\mathfrak{l}_n}\)