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.File allegati a questo prodotto
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