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Actions of linear
algebraic groups of exceptional type on projective
varieties
Kiwamu Watanabe |
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Vol. 239 (2009), No. 2, 391–396
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Abstract |
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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
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Mathematical Subject Classification 2000
Primary: 14L30, 14L40
Secondary: 14E30
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Milestones
Received: 4 September 2008
Revised: 16 October 2008
Accepted: 23 October 2008
Published: 27 November 2008
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Authors |
| Kiwamu Watanabe | |
| Waseda University Department of Mathematical Sciences School of Science and Engineering 4-1 Ohkubo 3-chome Shinjuku-ku, Tokyo 169-8555 Japan |
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