复曲面Newton-Okounkov函数及其在曲面上某些Seshadri常数的合理性中的应用
Toric Newton-Okounkov functions with an application to the rationality of certain Seshadri constants on surfaces
摘要：
本文从线丛的渐近不变量的合理性出发，对环面簇上的Newton-Okounkov函数进行了组合研究。在我们的努力过程中，我们确定了一个组合的条件，确保了适当的牛顿Okounkov函数的复曲面上的控制行为。我们的方法产生的合理性，许多Seshadri常数尚未解决之前。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
