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 semisimple 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). (C) 2003 Elsevier Science (USA). All rights reserved.
The ring of sections of a complete symmetric variety / R., Chirivi; Maffei, Andrea. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 261:2(2003), pp. 310-326. [10.1016/s0021-8693(02)00676-2]
The ring of sections of a complete symmetric variety
MAFFEI, Andrea
2003
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 semisimple 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). (C) 2003 Elsevier Science (USA). All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
