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Regular version of the site

Article

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

Bulletin de la Societe Mathematique de France. 2012. Vol. 140. No. 3. P. 309-333.
Smirnov E., Perrin N.

We study the singularities of the irreducible components of the Springer fiber over a nilpotent element N with N^2=0 in a Lie algebra of type A or D (the so-called two columns case). We use Frobenius splitting techniques to prove that these irreducible components are normal, Cohen-Macaulay, and have rational singularities.