Prym differentials as solutions to boundary value problems on Riemann surfaces
- 作者: Semenko E.1
-
隶属关系:
- Novosibirsk State University
- 期: 卷 57, 编号 1 (2016)
- 页面: 124-134
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170334
- DOI: https://doi.org/10.1134/S0037446616010122
- ID: 170334
如何引用文章
详细
Construction of multiplicative functions and Prym differentials, including the case of characters with branch points, reduces to solving a homogeneous boundary value problem on the Riemann surface. The use of the well-established theory of boundary value problems creates additional possibilities for studying Prym differentials and related bundles. Basing on the theory of boundary value problems, we fully describe the class of divisors of Prym differentials and obtain new integral expressions for Prym differentials, which enable us to study them directly and, in particular, to study their dependence on the point of the Teichmüller space and characters. Relying on this, we obtain and generalize certain available results on Prym differentials by a new method.
作者简介
E. Semenko
Novosibirsk State University
编辑信件的主要联系方式.
Email: semenko54@gmail.com
俄罗斯联邦, Novosibirsk