|
|
Abstract
|
|
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.
|
Keywords
group action, linear algebraic group of
exceptional type, minimal model program
|
Mathematical Subject Classification
Primary: 14L30, 14L40
Secondary: 14E30
|
Milestones
Received: 4 September 2008
Revised: 16 October 2008
Accepted: 23 October 2008
Published: 27 November 2008
|
|
|
|
|
