Projective normality of complete symmetric varieties
| dc.creator | Chirivi', Rocco | |
| dc.creator | Maffei, Andrea | |
| dc.date | 2002-06-27 | |
| dc.date | 2002-10-04 | |
| dc.date.accessioned | 2026-07-07T04:49:25Z | |
| dc.date.available | 2026-07-07T04:49:25Z | |
| dc.description | We prove that in characteristic zero the multiplication of sections of dominant line bundles on a complete symmetric variety $X=\bar{G/H}$ is a surjective map. As a consequence the cone defined by a complete linear system over $X$, or over a closed $G$ stable subvariety of $X$ is normal. This gives an affirmative answer to a question raised by Faltings. A crucial point of the proof is a combinatorial property of root systems. | |
| dc.description | Proof for E_7, E_8 in Lemma 4.6 added and minor changes | |
| dc.identifier | https://arxiv.org/abs/math/0206290 | |
| dc.identifier | http://arxiv.org/abs/math/0206290 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64413 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14M17 (Primary), 14L30 (secondary) | |
| dc.title | Projective normality of complete symmetric varieties | |
| dc.type | text |