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On the classification of 3-dimensional SL 2(ℂ)-varieties

  • Stefan Kebekus (a1)

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.

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References

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On the classification of 3-dimensional SL 2(ℂ)-varieties

  • Stefan Kebekus (a1)

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