On the Classification of 3-dimensional SL_2(C)-varieties

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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 [Keb98, math.AG/9805042] of the 3-dimensional relatively minimal quasihomogeneous varieties where the automorphism group is not solvable.

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Algebraic Geometry, 14M17 (Primary) 14L30, 32M12 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/76912

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9805043
 http://arxiv.org/abs/math/9805043

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arXiv