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arXiv · 0906.5226

Effective and Big Divisors on a Projective Symmetric Variety

Alessandro Ruzzi
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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 $G$-stable, such criterion has an explicit geometric interpretation. Finally, we describe the spherical closure of a symmetric subgroup.

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Alessandro Ruzzi. 2010-05-03. Effective and Big Divisors on a Projective Symmetric Variety. https://arxiv.org/abs/0906.5226

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