Abstract
We generalize Tango’s theorem on the Frobenius map of the first cohomology groups to higher-dimensional algebraic varieties in characteristic . As an application we construct counterexamples to Kodaira vanishing in higher dimension and prove the Ramanujam-type vanishing on surfaces which are not of general type when .
Citation
Shigeru Mukai. "Counterexamples to Kodaira’s vanishing and Yau’s inequality in positive characteristics." Kyoto J. Math. 53 (2) 515 - 532, Summer 2013. https://doi.org/10.1215/21562261-2081279
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