Fano horospherical variety

Details Fano horospherical variety Fano horospherical variety

2006-10-04

arxiv.org/abs/math/0610147v1

Mathematics

Algebraic Geometry

39 pages in French

Scientific paper

A horospherical variety is a normal algebraic variety where a reductive algebraic group acts with an open orbit which is a torus bundle over a flag variety. For example, toric varieties and flag varieties are horospherical. In this paper, we classify Fano horospherical varieties in terms of certain rational polytopes that generalize the reflexive polytopes considered by V. Batyrev. Then, we obtain an upper bound on the degree of smooth Fano horospherical varieties, analogus to that given by O. Debarre in the toric case. We extend a recent result of C. Casagrande: the Picard number of any Fano Q-factorial horospherical variety is bounded by twice the dimension.

Affiliated with

Also associated with

No associations

Rating

Fano horospherical variety does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fano horospherical variety, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fano horospherical variety will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-155979