Let G be a semisimple connected linear algebraic group over C , and X a wonderful G-variety. We study the possibility of realizing X as a closed subvariety of the projective space of a simple G- module. We describe the wonderful varieties having this property as well as the linear systems giving rise to such immersions. We also prove that any ample line bundle on a wonderful variety is very ample.

Simple immersions of wonderful varieties / Pezzini, Guido. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - STAMPA. - 255:(2007), pp. 793-812.

Simple immersions of wonderful varieties

PEZZINI, Guido
2007

Abstract

Let G be a semisimple connected linear algebraic group over C , and X a wonderful G-variety. We study the possibility of realizing X as a closed subvariety of the projective space of a simple G- module. We describe the wonderful varieties having this property as well as the linear systems giving rise to such immersions. We also prove that any ample line bundle on a wonderful variety is very ample.
2007
representation theory; spherical varieties; wonderful varieties;
01 Pubblicazione su rivista::01a Articolo in rivista
Simple immersions of wonderful varieties / Pezzini, Guido. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - STAMPA. - 255:(2007), pp. 793-812.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/968350
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