A characterization of Burniat surfaces with K2=4 and of non nodal type

被引：0

作者：

Shin YongJoo ^{[1
]}

机构：

[1] Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200433, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2016年 / 59卷 / 05期

关键词：

bicanonical map; Burniat surface; surface of general type; BICANONICAL MAP; GENERAL-TYPE; P(G)=0;

D O I：

10.1007/s11425-015-5090-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S be a minimal surface of general type with p (g) (S) = 0 and K (S) (2) = 4. Assume the bicanonical map I center dot of S is a morphism of degree 4 such that the image of I center dot is smooth. Then we prove that the surface S is a Burniat surface with K (2) = 4 and of non nodal type.

引用

页码：839 / 848

页数：10

共 21 条

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