Degeneracy Schemes and Schubert Varieties
Abstract
A result of Zelevinsky states that an orbit closure in the space of representations of the equioriented quiver of type Ah 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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