Projective models of enriques surfaces
Projective models of enriques surfaces
复制标题
恩里克曲面的投影模型
DOI：
10.1007/bf01456021
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发表时间：
1983
影响因子：
1.4
通讯作者：
F. Cossec
中科院分区：
文献类型：
--
作者：
F. Cossec
Enriques 曲面是在代数闭域上定义的平滑投影曲面 S，使得 dimHl (S, Cs)= O、2Ks= 0 且 Ks# O，其中 K s 是规范除数类。假设地面场的特性不同于两个。本文研究了与完整线性系统 IC 相关的映射 q) IcI: S-, IPH~ v [没有基本组件，使得 pa (C) _-> 3。该技术基于 Bombieri 在 [B] 中开发的有效除数的 m 连通性概念以及 Saint-Donat 在他的 K 3 表面研究中获得的一些结果，IS-D]。
An Enriques surface is a smooth projective surface S defined over an algebraically closed field such that dimHl (S, Cs)= O, 2Ks= 0 and Ks# O where K s is the canonical divisor class. The characteristic of the ground field is assumed to be different from two.This paper studies the map q) IcI: S-, IPH~ v associated to a complete linear system IC [without base-components and such that pa (C) _-> 3. The techniques are based on the notion of m-connectedness of effective divisors as developed by Bombieri in [B] as well as some results obtained by Saint-Donat in his study of K 3 surfaces, IS-D].