论文标题
关于纳加塔的估价猜想
On the valuative Nagata conjecture
论文作者
论文摘要
我们提供了几种等效的条件,用于平滑射影表面的平面分区估值,相对于足够的除数而言是最小的。这些条件涉及由分区估值定义的表面的评估seshadri常数和其他全球工具。结果,我们为纳迦塔猜想和一些相关结果提供了几种等效陈述。
We provide several equivalent conditions for a plane divisorial valuation of a smooth projective surface to be minimal with respect to an ample divisor. These conditions involve a valuative Seshadri constant and other global tools of the surface defined by the divisorial valuation. As a consequence, we derive several equivalent statements for the valuative Nagata conjecture and some related results.