论文标题

曲子牛顿 - 科恩科夫(Newton-Okounkov

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

论文作者

Haase, Christian, Küronya, Alex, Walter, Lena

论文摘要

我们启动了牛顿 - 科恩科夫(Newton-Okounkov)功能在感谢您的品种上的组合研究,并着眼于线束束的渐近不变的合理性。在我们的努力过程中,我们确定了一种组合条件,可确保在感谢您的表面上适当的牛顿 - 科恩科夫功能的受控行为。我们的方法产生了以前未解决的许多Seshadri常数的合理性。

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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