Vanishing theorems and adjoint linear systems on normal surfaces in positive characteristic
Vanishing theorems and adjoint linear systems on normal surfaces in positive characteristic
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DOI：
10.2140/pjm.2023.324.71
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发表时间：
2021-04
影响因子：
0.6
通讯作者：
Makoto Enokizono
中科院分区：
文献类型：
--
作者：
Makoto Enokizono
我们证明了正特征曲面上一大类因数的 Kawamata-Viehweg 消失定理。利用这个消失定理，建立了法曲面态射的Reider型定理和可拓定理。作为可拓定理的应用，我们用曲线上的有理函数来表征任意基场上任何平面曲线上的非奇异有理点。
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.