An application of the Riemann-Roch theorem

• 来源期刊: 中国科学A辑(英文版)
• 年，卷（期）: 2008,（4）
• 页码范围: 765-772
• 页数: 8页
• 语种: 英文
• DOI: 10.1007/s11425-007-0160-y

摘要

Applying the Riemann-Roch theorem,we calculate the dimension of a kind of mero-morphic λ-differentials' space on compact Riemann surfaces.And we also construct a basis of the λ-differentials' space.As the main result,the Cauchy type of integral formula on compact Riemann surfaces is established.