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On the classification of 3-dimensional SL2(ℂ)-varieties
Published online by Cambridge University Press: 22 January 2016
Abstract
In the present work we describe 3-dimensional complex SL2-varieties where the generic SL2-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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- Copyright © Editorial Board of Nagoya Mathematical Journal 2000
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