论文标题
在投影束和音量功能的伪芬锥上
On pseudoeffective cones of projective bundles and volume function
论文作者
论文摘要
在本文中，我们计算了各种投影捆绑包的伪有效锥$ \ mathbb {p} _x（e）$在$ x $上的某些假设以及矢量bundle $ e $上的某些假设下的高维品种$ x $上。我们还计算了光纤产品上的音量函数$ \ mathbb {p}（e）\ times_c \ mathbb {p}（p}（f）$在平滑不可减小的复杂的凸出曲线$ c $上，这两个投影捆绑包的$。特别是，我们表明两个统治表面的纤维产物上的体积函数是多项式类型的。
In this article, we compute the pseudo-effective cones of various projective bundles $\mathbb{P}_X(E)$ over higher dimensional varieties $X$ under some assumptions on $X$ as well as on the vector bundle $E$. We also compute the volume function on fibre product $\mathbb{P}(E)\times_C\mathbb{P}(F)$ of two projective bundles over a smooth irreducible complex projective curve $C$. In particular, we show that the volume function on the fiber product of two ruled surfaces is of polynomial type.
