Kodaira dimension of fiber sums along spheres

被引:5
|
作者
Dorfmeister, Josef G. [1 ]
机构
[1] N Dakota State Univ, Dept Math, Fargo, ND 58108 USA
关键词
Symplectic geometry; Symplectic sum; Kodaira dimension; 4-MANIFOLDS; SURFACES; FORMULA;
D O I
10.1007/s10711-014-9974-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note we discuss the effect of the symplectic sum along spheres in symplectic four-manifolds on the Kodaira dimension of the underlying symplectic manifold. We find that the Kodaira dimension is non-decreasing. Moreover, we are able to obtain precise results on the structure of the manifold obtained from the blow down of an embedded symplectic -sphere.
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页码:1 / 25
页数:25
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