%0 Journal Article
%T Effective and Big Divisors on a Projective Symmetric Variety
%A Alessandro Ruzzi
%J Mathematics
%D 2009
%I arXiv
%X 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 $G$-stable, such criterion has an explicit geometric interpretation. Finally, we describe the spherical closure of a symmetric subgroup.
%U http://arxiv.org/abs/0906.5226v3