论文标题
某些复曲纤维束的数值表征
Numerical characterization of some toric fiber bundles
论文作者
论文摘要
给定一个复杂的投影歧管$ x $和一个带有正常交叉口的除数$ d $，我们说，如果对数$ t_x（ - \ log d）$的对数切线捆绑包（ - \ log d）$是r-flat，如果其向下倾斜到$ x $中包含的任何理性曲线的正常化是微不足道的矢量束。如果此外$ - （k_x+d）$是nef，则原木规范除数$ k_x+d $是扭转，而最大的理性链连接纤维则是一种典型的典型纤维$ f $，是一个典型的纤维纤维$ f $是带有边界划分的折磨$ d_ d_ {| f} $。
Given a complex projective manifold $X$ and a divisor $D$ with normal crossings, we say that the logarithmic tangent bundle $T_X(-\log D)$ is R-flat if its pull-back to the normalization of any rational curve contained in $X$ is the trivial vector bundle. If moreover $-(K_X+D)$ is nef, then the log canonical divisor $K_X+D$ is torsion and the maximally rationally chain connected fibration turns out to be a smooth locally trivial fibration with typical fiber $F$ being a toric variety with boundary divisor $D_{|F}$.
