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Equivariant deformations of the affine multicone over a flag variety

Paolo Bravi, Stephanie Cupit-Foutou

math.AGarXiv:math/0603690

Abstract

We prove that the invariant Hilbert scheme parametrising the equivariant deformations of the affine multicone over a flag variety is, under certain hypotheses, an affine space. The proof is based on the construction of a wonderful variety in a fixed multiprojective space.

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