THE LOCAL BEHAVIOR OF HOLOMORPHIC-CURVES IN ALMOST COMPLEX 4-MANIFOLDS

被引：0
|
作者：
MCDUFF, D [1 ]
机构：
[1] SUNY STONY BROOK,STONY BROOK,NY 11794
来源：
JOURNAL OF DIFFERENTIAL GEOMETRY | 1991年 / 34卷 / 01期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove various results about the positivity of intersections of holomorphic curves in almost complex 4-manifolds which were stated by Gromov. We also show that the virtual genus of any closed holomorphic curve in an almost complex 4-manifold is nonnegative. These technical results form the basis of the classification of rational and ruled symplectic 4-manifolds given in [5].
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页码：143 / 164
页数：22
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