COMPLEX STRUCTURES ON FOUR-MANIFOLDS WITH SYMPLECTIC TWO-TORUS ACTIONS

被引：4

作者：

Duistermaat, J. J. ^{[1
]}

Pelayo, A. ^{[2
,3
]}

机构：

[1] Univ Utrecht, Mathematisch Inst, NL-3508 TA Utrecht, Netherlands

[2] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA

[3] Washington Univ, Dept Math, St Louis, MO 63130 USA

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2011年 / 22卷 / 03期

关键词：

CONVEXITY;

D O I：

10.1142/S0129167X11006854

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We apply the general theory for symplectic torus actions with symplectic or coisotropic orbits to prove that a four-manifold with a symplectic two-torus action admits an invariant complex structure and give an identification of those that do not admit a Kahler structure with Kodaira's class of complex surfaces which admit a nowhere vanishing holomorphic (2,0)-form, but are not a torus nor a K3 surface.

引用

页码：449 / 463

页数：15

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