A simply connected surface of general type with pg=0 and K2=3

被引：33

作者：

Park, Heesang ^{[1
]}

Park, Jongil ^{[1
]}

Shin, Dongsoo ^{[2
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

[2] Pohang Univ Sci & Technol, Dept Math, Pohang 790784, Gyungbuk, South Korea

来源：

GEOMETRY & TOPOLOGY | 2009年 / 13卷

关键词：

SMOOTH; 4-MANIFOLDS; RATIONAL BLOWDOWNS; SINGULARITIES; DEFORMATIONS; COMPLEX;

D O I：

10.2140/gt.2009.13.743

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motivated by a recent result of Y Lee and the second author [9], we construct a simply connected minimal complex surface of general type with p(g) = 0 and K-2 = 3 using a rational blow-down surgery and Q-Gorenstein smoothing theory. In a similar fashion, we also construct a new simply connected symplectic 4-manifold with b(2)(+) = 1 and K-2 = 4.

引用

页码：743 / 767

页数：25

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