Okounkov Bodies of Complexity-One T-Varieties

Details Okounkov Bodies of Complexity-One T-Varieties Okounkov Bodies of Complexity-One T-Varieties

2011-08-02

arxiv.org/abs/1108.0632v1

Mathematics

Algebraic Geometry

25 pages, 12 figures

Scientific paper

We compute Okounkov bodies of projective complexity-one T-varieties with respect to two types of invariant flags. In particular, we show that the latter are rational polytopes. Moreover, using results of Dave Anderson and Nathan Ilten, we briefly exhibit explicit links to degenerations and T-deformations. Finally, we prove that the global Okounkov body of a rational projective complexity-one T-variety is rational polyhedral.

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