An application of the Riemann-Roch theorem

被引：0
|
作者：
Wang ShiKun [1 ,2 ]
Zhang HuiPing [3 ]
机构：
[1] Chinese Acad Sci, IAM, AMSS, Beijing 100080, Peoples R China
[2] KLMM, Beijing 100080, Peoples R China
[3] Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2008年 / 51卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Riemann-Roch theorem; lambda-differential; annulus domain; Cauchy integral formula;
D O I：
10.1007/s11425-007-0160-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Applying the Riemann-Roch theorem, we calculate the dimension of a kind of meromorphic lambda-differentials' space on compact Riemann surfaces. And we also construct a basis of the lambda-differentials' space. As the main result, the Cauchy type of integral formula on compact Riemann surfaces is established.
引用
收藏
页码：765 / 772
页数：8
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