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arXiv · 2008.04018

Toric Newton-Okounkov functions with an application to the rationality of certain Seshadri constants on surfaces

Christian Haase·Alex Küronya·Lena Walter
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Abstract

We initiate a combinatorial study of Newton-Okounkov functions on toric varieties with an eye on the rationality of asymptotic invariants of line bundles. In the course of our efforts we identify a combinatorial condition which ensures a controlled behavior of the appropriate Newton-Okounkov function on a toric surface. Our approach yields the rationality of many Seshadri constants that have not been settled before.

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Christian Haase, Alex Küronya, Lena Walter. 2020-08-10. Toric Newton-Okounkov functions with an application to the rationality of certain Seshadri constants on surfaces. https://arxiv.org/abs/2008.04018

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