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arxiv: math/0603690 · v2 · submitted 2006-03-29 · 🧮 math.AG · math.RT

Equivariant deformations of the affine multicone over a flag variety

classification 🧮 math.AG math.RT
keywords affinevarietydeformationsequivariantflagmulticonespacecertain
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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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