Vanishing theorems and adjoint linear systems on normal surfaces in positive characteristic
Algebraic Geometry
2023-06-22 v2 Number Theory
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.
Cite
@article{arxiv.2104.00197,
title = {Vanishing theorems and adjoint linear systems on normal surfaces in positive characteristic},
author = {Makoto Enokizono},
journal= {arXiv preprint arXiv:2104.00197},
year = {2023}
}
Comments
29 pages, v2: Example 3.8 added, some references added