Resumen de Actions of linear algebraic groups of exceptional type on projective varieties
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.
