Mathematics – Algebraic Geometry
Scientific paper
2009-07-03
Mathematics
Algebraic Geometry
v1: 18 pages; v2: 20 pages, Sec.3 rewritten, mistake in Prop.3.10 corrected
Scientific paper
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.
Perrin Nicolas
Smirnov Evgeny
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