Estimation and Vanishing Results for Hodge numbers
arXiv:2009.14319 · doi:10.1515/crelle-2021-0036
Abstract
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.
22 pages, minor corrections