Effective and Big Divisors on a Projective Symmetric Variety
Algebraic Geometry
2010-05-04 v3 Representation Theory
Abstract
We describe the effective and the big cones of a projective symmetric variety. Moreover, we give a necessary and sufficient combinatorial criterion for the bigness of a nef divisor on a projective symmetric variety. When the variety is toroidal and the divisor is -stable, such criterion has an explicit geometric interpretation. Finally, we describe the spherical closure of a symmetric subgroup.
Cite
@article{arxiv.0906.5226,
title = {Effective and Big Divisors on a Projective Symmetric Variety},
author = {Alessandro Ruzzi},
journal= {arXiv preprint arXiv:0906.5226},
year = {2010}
}
Comments
16 pages. We have added an explict description of the big cone as an union of cones whose closure is simplicial