Meromorphic differentials with imaginary periods on degenerating hyperelliptic curves

被引:0
|
作者
M. Bertola
A. Tovbis
机构
[1] Concordia University,Department of Mathematics and Statistics
[2] Université de Montréal,Centre recherches mathématiques
[3] University of Central Florida,Department of Mathematics
来源
Analysis and Mathematical Physics | 2015年 / 5卷
关键词
Real and imaginary normalized differentials; Degenerating Riemann surfaces; Orthogonal polynomials;
D O I
暂无
中图分类号
学科分类号
摘要
We provide a direct and explicit proof that imaginary (real) normalized differentials of the second kind with prescribed polar part do not develop additional singularities as the underlying hyperelliptic Riemann surface degenerates in an arbitrary way.
引用
收藏
页码:1 / 22
页数:21
相关论文
共 50 条
  • [41] Elliptic subcovers of hyperelliptic curves
    Kani, Ernst
    MATHEMATISCHE NACHRICHTEN, 2017, 290 (17-18) : 2890 - 2900
  • [42] Fields of moduli of hyperelliptic curves
    Huggins, Bonnie
    MATHEMATICAL RESEARCH LETTERS, 2007, 14 (2-3) : 249 - 262
  • [43] Regular models of hyperelliptic curves
    Muselli, Simone
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2024, 35 (04): : 646 - 697
  • [44] On double coverings of hyperelliptic curves
    Ballico, E.
    Keem, C.
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2006, 207 (02) : 397 - 415
  • [45] Integral points on hyperelliptic curves
    Bugeaud, Yann
    Mignotte, Maurice
    Siksek, Samir
    Stoll, Michael
    Tengely, Szabolcs
    ALGEBRA & NUMBER THEORY, 2008, 2 (08) : 859 - 885
  • [46] Hitchin Systems on Hyperelliptic Curves
    P. I. Borisova
    O. K. Sheinman
    Proceedings of the Steklov Institute of Mathematics, 2020, 311 : 22 - 35
  • [47] INTEGER POINTS ON HYPERELLIPTIC CURVES
    POULAKIS, D
    ACTA ARITHMETICA, 1992, 62 (01) : 25 - 43
  • [48] ON QUADRATIC TWISTS OF HYPERELLIPTIC CURVES
    Sadek, Mohammad
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2014, 44 (03) : 1015 - 1026
  • [49] Ate pairing on hyperelliptic curves
    Granger, R.
    Hess, F.
    Oyono, R.
    Theriault, N.
    Vercauteren, F.
    ADVANCES IN CRYPTOLOGY - EUROCRYPT 2007, 2007, 4515 : 430 - +
  • [50] A note on families of hyperelliptic curves
    Sergey Gorchinskiy
    Filippo Viviani
    Archiv der Mathematik, 2009, 92 : 119 - 128