论文标题
Hodge数字的估计和消失结果
Estimation and Vanishing Results for Hodge numbers
论文作者
论文摘要
我们表明，紧凑的Kähler歧管具有复杂的投影空间的理性共同体学环，提供了Kähler弯曲操作员最低三个特征值的加权总和为正。这是从单个hodge数字的更一般消失和估计定理中得出的。我们还证明了Tachibana定理的Kähler歧管。
We show that compact Kähler manifolds have the rational cohomology ring of complex projective space provided a weighted sum of the lowest three eigenvalues of the Kähler curvature operator is positive. This follows from a more general vanishing and estimation theorem for the individual Hodge numbers. We also prove an analogue of Tachibana's theorem for Kähler manifolds.
