On the B-canonical splittings of flag varieties

Details On the B-canonical splittings of flag varieties On the B-canonical splittings of flag varieties

2009-08-29

arxiv.org/abs/0908.4354v3

Mathematics

Algebraic Geometry

After obtaining this result, I was informed that Allen Knutson has also recently obtained a similar result. This version fixes

Scientific paper

Let G be a semisimple algebraic group over an algebraically closed field of
positive characteristic. In this note, we show that an irreducible closed
subvariety of the flag variety of G is compatibly split by the unique canonical
Frobenius splitting if and only if it is a Richardson variety, i.e. an
intersection of a Schubert and an opposite Schubert variety.

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