论文标题
关于牛顿 - 科恩科夫尸体的添加性
On the additivity of Newton-Okounkov bodies
论文作者
论文摘要
我们研究了牛顿 - 科恩科夫身体的添加性。我们的主要结果指出，在充足的圆锥体的二维子凸台上，与适当的旗帜相关的牛顿 - 科恩科夫体可与合适的标志相关。我们通过依靠牛顿 - 科恩科夫身体的切片公式来证明这一点。此外，我们讨论了加成性的必要条件，表明我们的结果在一般情况下是最佳的。作为应用程序，我们推断出NEF线束的相交数量之间的不平等。
We study the additivity of Newton-Okounkov bodies. Our main result states that on two dimensional subcones of the ample cone the Newton-Okounkov body associated to an appropriate flag acts additively. We prove this by induction relying on the slice formula for Newton-Okounkov bodies. Moreover, we discuss a necessary condition for the additivity showing that our result is optimal in general situations. As an application, we deduce an inequality between intersection numbers of nef line bundles.
