Vanishing and estimation results for Hodge numbers

نویسندگان

چکیده

Abstract We show that compact Kähler manifolds have the rational cohomology ring of complex projective space provided a weighted sum lowest three eigenvalues curvature operator is positive. This follows from more general vanishing and estimation theorem for individual Hodge numbers. also prove an analogue Tachibana’s manifolds.

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ژورنال

عنوان ژورنال: Crelle's Journal

سال: 2021

ISSN: ['1435-5345', '0075-4102']

DOI: https://doi.org/10.1515/crelle-2021-0036