On the Classification of 3-dimensional SL_2(C)-varieties
Algebraic Geometry
2007-05-23 v1
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 [Keb98, math.AG/9805042] of the 3-dimensional relatively minimal quasihomogeneous varieties where the automorphism group is not solvable.
Cite
@article{arxiv.math/9805043,
title = {On the Classification of 3-dimensional SL_2(C)-varieties},
author = {Stefan Kebekus},
journal= {arXiv preprint arXiv:math/9805043},
year = {2007}
}