Complex surfaces of general type with K2=3, 4 and pg = q=0

被引：0

作者：

Park, Heesang ^{[1
]}

Shin, Dongsoo ^{[2
]}

Yang, Yoonjeong ^{[2
]}

机构：

[1] Konkuk Univ, Dept Math, Seoul 05029, South Korea

[2] Chungnam Natl Univ, Dept Math, Daejeon 34134, South Korea

来源：

COMPTES RENDUS MATHEMATIQUE | 2019年 / 357卷 / 03期

关键词：

ENRIQUES SURFACES;

D O I：

10.1016/j.crma.2019.02.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct complex surfaces of general type with p(g) = 0 and K-2 = 3, 4 as double covers of Enriques surfaces (called Keum-Naie surfaces) with a different way to the original constructions of Keum and Naie. As a result, we show that there is a (-4)-curve on the example with K-2 = 3, which might imply a special relation between Keum-Naie surfaces with K-2 = 3 and K-2 = 4. (C) 2019 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：291 / 295

页数：5

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