ON EXTENSION OF HOLOMORPHIC K-DIFFERENTIALS ON OPEN RIEMANN SURFACES

被引：0

作者：

Askaripour, Nadya ^{[1
]}

Barron, Tatyana ^{[2
]}

机构：

[1] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA

[2] Univ Western Ontario, Dept Math, London, ON N6A 5B7, Canada

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2014年 / 40卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Riemann surfaces; line bundles; holomorphic sections; extension; Poincare series; POINCARE-SERIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose X is a Riemann surface and C is a subset of X which is an open Riemann surface. We study the problem of extending a holomorphic k-differential on C to a holomorphic k-differential on X.

引用

页码：1117 / 1126

页数：10

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