We prove that the invariant Hilbert scheme parameterising the equivariant deformations of the affine multicone over a flag variety is, under certain hypotheses, an affine space. More specifically, we obtain that the isomorphism classes of equivariant deformations of such a multicone are in correspondence with the orbits of a well-determined wonderful variety. (C) 2007 Elsevier Inc. All rights reserved.
Equivariant deformations of the affine multicone over a flag variety / Bravi, Paolo; S., Cupit Foutou. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 217:6(2008), pp. 2800-2821. [10.1016/j.aim.2007.11.009]
Equivariant deformations of the affine multicone over a flag variety
BRAVI, Paolo;
2008
Abstract
We prove that the invariant Hilbert scheme parameterising the equivariant deformations of the affine multicone over a flag variety is, under certain hypotheses, an affine space. More specifically, we obtain that the isomorphism classes of equivariant deformations of such a multicone are in correspondence with the orbits of a well-determined wonderful variety. (C) 2007 Elsevier Inc. All rights reserved.File allegati a questo prodotto
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