Irreducible components of two-row Springer fibers for all classical types

A topological constructions for all two-row Springer varieties

Smooth Components of Springer Fibers

This article studies components of Springer fibers for gl(n) that are associated to closed orbits of GL(p) × GL(q) on the flag variety of GL(n), n = p+ q. These components occur in any Springer fiber. In contrast to the case of arbitrary components, these components are smooth varieties. Using results of Barchini and Zierau we show these components are iterated bundles and are stable under the ...

Purity of Equivalued Affine Springer Fibers

The affine Springer fiber corresponding to a regular integral equivalued semisimple element admits a paving by vector bundles over Hessenberg varieties and hence its homology is “pure”.

Irreducible Components of Rigid Spaces

Cet article donne les fondements de la théorie globale des composantes irréductibles d’espaces analytiques rigides sur un corps complet k. Nous prouvons l’excellence d’anneaux locaux sur les espaces rigides sur k. De là, nous prouvons les théorèmes standards d’existence et nous montrons la compatibilité avec les notions des composantes irréductibles pour les schémas et les schémas formels. Le c...

Intersections of Components of a Springer Fiber of Codimension One for the Two Column Case

This paper is a subsequent paper of [MP2]. Here we consider the irreducible components of Springer fibres (or orbital varieties) for two-column case in GLn. We describe the intersection of two irreducible components, and specially give the necessary and sufficient condition for this intersection to be of codimension one. This work find some motivations in the conjecture 6.3 of Kazhdan and Luszt...