Degeneracy Schemes and Schubert Varieties

Details Degeneracy Schemes and Schubert Varieties Degeneracy Schemes and Schubert Varieties

1997-09-16

arxiv.org/abs/alg-geom/9709018v1

Mathematics

Algebraic Geometry

16 pp, Northeastern University, Latex

Scientific paper

A result of Zelevinsky states that an orbit closure in the space of representations of the equioriented quiver of type $A_h$ is in bijection with the opposite cell in a Schubert variety of a partial flag variety $SL(n)/Q$. We prove that Zelevinsky's bijection is a scheme-theoretic isomorphism, which shows that the universal degeneracy schemes of Fulton are reduced and Cohen-Macaulay in arbitrary characteristic.

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