On compact Kahler surfaces

被引：90

作者：

Buchdahl, N ^{[1
]}

机构：

[1] Univ Adelaide, Dept Pure Math, Adelaide, SA 5005, Australia

来源：

ANNALES DE L INSTITUT FOURIER | 1999年 / 49卷 / 01期

关键词：

compact complex surface; Kahler metric; Nakai criterion; positive current;

D O I：

10.5802/aif.1674

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Without relying on the classification of compact complex surfaces, it is proved that every such surface with even first Betti number admits a Kahler metric and that a real form of the classical Nakai-Moishezon criterion holds on the surface.

引用

页码：287 / +

页数：17

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