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arXiv · 2009.14319

Estimation and Vanishing Results for Hodge numbers

Peter Petersen·Matthias Wink
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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.

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Peter Petersen, Matthias Wink. 2021-04-28. Estimation and Vanishing Results for Hodge numbers. https://doi.org/10.1515/crelle-2021-0036

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