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
收藏
页码：1117 / 1126
页数：10
相关论文
共 50 条
  • [1] On holomorphic k-differentials on open Riemann surfaces
    Askaripour, Nadya
    Foth, Tatyana
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2012, 57 (10) : 1106 - 1116
  • [2] Approximation by Meromorphic k-Differentials on Compact Riemann Surfaces
    Askaripour, Nadya
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2024, 18 (03)
  • [3] Approximation by Meromorphic k-Differentials on Compact Riemann Surfaces
    Nadya Askaripour
    Complex Analysis and Operator Theory, 2024, 18
  • [4] Strata of k-differentials
    Bainbridge, Matt
    Chen, Dawei
    Gendron, Quentin
    Grushevsky, Samuel
    Moeller, Martin
    ALGEBRAIC GEOMETRY, 2019, 6 (02): : 196 - 233
  • [5] PERIODS OF DIFFERENTIALS ON OPEN RIEMANN SURFACES
    MARDEN, A
    RODIN, B
    DUKE MATHEMATICAL JOURNAL, 1966, 33 (01) : 103 - &
  • [6] CAPACITY DIFFERENTIALS ON OPEN RIEMANN SURFACES
    WEILL, GG
    PACIFIC JOURNAL OF MATHEMATICS, 1962, 12 (02) : 769 - &
  • [7] HOLOMORPHIC FUNCTIONALS ON OPEN RIEMANN SURFACES
    GAUTHIER, PM
    RUBEL, LA
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1976, 28 (04): : 885 - 888
  • [8] HOLOMORPHIC FAMILIES OF OPEN RIEMANN SURFACES
    EARLE, CJ
    FOWLER, RS
    MATHEMATISCHE ANNALEN, 1985, 270 (02) : 249 - 273
  • [9] HOLOMORPHIC FUNCTIONALS ON OPEN RIEMANN SURFACES
    GAUTHIER, PM
    RUBEL, LA
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (03): : A375 - A375
  • [10] ADJUNCTION FORMULA, POINCARE RESIDUE AND HOLOMORPHIC DIFFERENTIALS ON RIEMANN SURFACES
    Lesfari, A.
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2018, 24 (01): : 41 - 52
12345