椭圆曲面上不动点为二维实曲面的3阶循环群作用  

Cyclic group action of order 3 on elliptic surface with 2-dimentional real surface as fixed point

作　　者：李红霞[1] 

机构地区：[1]上海海事大学文理学院,上海201306

出　　处：《上海海事大学学报》2012年第3期92-94,共3页Journal of Shanghai Maritime University

基　　金：上海海事大学校基金(20110035)

摘　　要：设Z3为椭圆曲面E(2k)(k=1,2)上的3阶循环群作用,群作用的不动点为二维实连通曲面Σ.利用Seiberg-Witten不变量的有关结论,研究该不动曲面Σ的亏格g与自交数[Σ]·[Σ]之间的关系,得出反映两者关系的不等式.Z3 is assumed as a cyclic group action of order 3 on elliptic surface E（2k） （k = 1,2）, and the fixed point of the group action is a 2-dimensional real connected surface ∑. By using relevant conclusions about the Seiberg-Witten invariants, the relationship between the genus g and the self intersection number [ ∑] · [ ∑] of the fixed surface 2 is studied, and an inequality reflecting the relationship between the two is obtained.

关 键 词：椭圆曲面 亏格 相交数 Seiberg-Witten不变量 

分 类 号：O186.16[理学—数学]