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The ring of sections of a complete symmetric variety

Rocco Chirivi'·Andrea Maffei
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Abstract

We study the ring of sections A(X) of a complete symmetric variety X, that is of the wonderful completion of G/H where G is an adjoint semi-simple group and H is the fixed subgroup for an involutorial automorphism of G. We find generators for Pic(X), we generalize the PRV conjecture to complete symmetric varieties and construct a standard monomial theory for A(X) that is compatible with G orbit closures in X. This gives a degeneration result and the rational singularityness for A(X).

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BibTeXRIS

Rocco Chirivi', Andrea Maffei. 2002-04-30. The ring of sections of a complete symmetric variety. https://arxiv.org/abs/math/0204354

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