The ring of sections of a complete symmetric variety
| dc.creator | Chirivi', Rocco | |
| dc.creator | Maffei, Andrea | |
| dc.date | 2002-04-30 | |
| dc.date.accessioned | 2026-07-07T04:48:09Z | |
| dc.date.available | 2026-07-07T04:48:09Z | |
| dc.description | 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). | |
| dc.description | 15 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/0204354 | |
| dc.identifier | http://arxiv.org/abs/math/0204354 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63941 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14M17 (Primary) 14L30 (Secondary) | |
| dc.title | The ring of sections of a complete symmetric variety | |
| dc.type | text |