Single-Valued q-Differentials on a Variable Finite Riemann Surface
- 作者: Kazantseva A.A.1
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隶属关系:
- Gorno-Altaisk State University
- 期: 卷 213, 编号 6 (2016)
- 页面: 857-867
- 栏目: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/237281
- DOI: https://doi.org/10.1007/s10958-016-2747-8
- ID: 237281
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详细
We consider single-valued meromorphic functions and differentials on finite Riemann surfaces. We construct elementary q-differentials of all types. We find the dimension of two important quotient spaces of Abelian q-differentials, in particular, the first holomorphic de Rham cohomology group of 1-differentials. For these quotient spaces we construct bases that locally holomorphically depend on the moduli of the Riemann surfaces. Bibliography: 6 titles.
作者简介
A. Kazantseva
Gorno-Altaisk State University
编辑信件的主要联系方式.
Email: albesik@mail.ru
俄罗斯联邦, 1, Lenkina St., Gorno-Altaisk, 649000
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