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2000 On the classification of 3-dimensional ${\rm SL}\sb 2(\bold C)$-varieties
Stefan Kebekus
Nagoya Math. J. 157: 129-147 (2000).

Abstract

In the present work we describe 3-dimensional complex $SL_2$-varieties where the generic $SL_2$-orbit is a surface. We apply this result to classify the minimal 3-dimensional projective varieties with Picard-number 1 where a semisimple group acts such that the generic orbits are 2-dimensional.

This is an ingredient of the classification [Keb99] of the 3-dimensional relatively minimal quasihomogeneous varieties where the automorphism group is not solvable.

Citation

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Stefan Kebekus. "On the classification of 3-dimensional ${\rm SL}\sb 2(\bold C)$-varieties." Nagoya Math. J. 157 129 - 147, 2000.

Information

Published: 2000
First available in Project Euclid: 27 April 2005

zbMATH: 0964.14042
MathSciNet: MR1752479

Subjects:
Primary: 14L30
Secondary: 14J30

Rights: Copyright © 2000 Editorial Board, Nagoya Mathematical Journal

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Vol.157 • 2000
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