Spaltenstein variety

In algebraic geometry, a Spaltenstein variety is a variety given by the fixed point set of a nilpotent transformation on a flag variety. They were introduced by Nicolas Spaltenstein (1976, 1982). In the special case of full flag varieties the Spaltenstein varieties are Springer varieties.

References

• Spaltenstein, N. (1976), "The fixed point set of a unipotent transformation on the flag manifold", Indagationes Mathematicae, 38 (5): 452–456, MR 0485901
• Spaltenstein, Nicolas (1982), Classes unipotentes et sous-groupes de Borel, Lecture Notes in Mathematics, vol. 946, Berlin, New York: Springer-Verlag, ISBN 978-3-540-11585-4, MR 0672610