论文标题
不规则振动的较高尺寸斜率不平等
Higher Dimensional Slope Inequalities for Irregular fibrations
论文作者
论文摘要
我们证明了克利福德 - 史沃里（Clifford-severi）不等式之间的等效性对于良好的最大阿尔巴内斯尺寸和斜坡不等式的品种，对于曲线而言，这种品种的纤维纤维均具有等效性。这提供了一系列新的坡度不平等，并表征了极限情况。它还提供了一种机械，可以自动获得其他较高的维度斜率和Clifford-severi不平等的不平等现象。为此，我们构建了Xiao方法的连续版本，用于不规则纤维。
We prove the equivalence between Clifford-Severi inequalities for good classes of varieties of maximal Albanese dimension and Slope Inequalities for fibrations of such varieties over curves. This provides a big set of new Slope Inequalities and characterizes the limit cases. It also gives a machinery to automatically obtain other higher dimensional Slope and Clifford-Severi inequalities from inequalities in low dimension. For this, we construct a continuous version of Xiao's method for irregular fibrations.
