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arXiv · 2104.00197

Vanishing theorems and adjoint linear systems on normal surfaces in positive characteristic

Makoto Enokizono
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Abstract

We prove the Kawamata-Viehweg vanishing theorem for a large class of divisors on surfaces in positive characteristic. By using this vanishing theorem, Reider-type theorems and extension theorems of morphisms for normal surfaces are established. As an application of the extension theorems, we characterize non-singular rational points on any plane curve over an arbitrary base field in terms of rational functions on the curve.

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Makoto Enokizono. 2021-04-01. Vanishing theorems and adjoint linear systems on normal surfaces in positive characteristic. https://doi.org/10.2140/pjm.2023.324.71

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