Riemann面上多极点亚纯向量场的代数及其在亚纯λ-微分的实现(Ⅱ)

THE ALGEBRAS OF MEROMORPHIC VECTOR FIELDS AND THE BASES OF MEROMORPHIC λ-DIFFERENTIALS ON RIEMANN SURFACES (Ⅱ)

本文构造了高亏格紧Riemann面上多极点亚纯λ-微分基的一般表达式,并给出了一般方格上亚纯向量场的代数关系。

The algebras of meromorphic vector fields and the bases of meromorphic λ-differentials with multipoles are constructed explicitly on general genus Riemann surfaces. For Riemann sphere the central extension of the algebra is also given.