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Singular components of Springer fibers in the two-column case

Singular components of Springer fibers in the two-column case

We consider the Springer fiber ℬ u corresponding to a nilpotent endomorphism u of nilpotent order 2. As a first result, we give a description of the elements of a given component of ℬ u which are fixed by the action of the standard torus relative to some Jordan basis …