Actions of linear algebraic groups of exceptional type on projective varieties

• Autores: Kiwamu Watanabe
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 239, Nº 2, 2009, págs. 391-396
• Idioma: inglés
• DOI: 10.2140/pjm.2009.239.391
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• Resumen

  • Let X be a smooth projective variety of dimension n and G a simple linear algebraic group of exceptional type acting regularly and nontrivially on X. Then it is known that n has a lower bound rG which only depends on the Dynkin type of G. In this article we give a classification of X with an action of G in the case where n = rG + 1.