Kodaira dimension & the Yamabe problem, II

被引：0

作者：

Albanese, Michael ^{[1
]}

LeBrun, Claude ^{[2
]}

机构：

[1] Univ Adelaide, Sch Comp & Math Sci, Adelaide, SA 5005, Australia

[2] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

来源：

COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2023年 / 31卷 / 10期

关键词：

SCALAR CURVATURE; MANIFOLDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For compact complex surfaces (M-4,J) of Kahler type, it was previously shown [30] that the sign of the Yamabe invariant Y(M) only depends on the Kodaira dimension Kod(M,J). In this paper, we prove that this pattern in fact extends to all compact complex surfaces except those of class VII. In the process, we also reprovea result from [2] that explains why the exclusion of class VII is essential here.

引用

页数：26

共 21 条

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