Variational formula in the Schottky model of Riemann surfaces
Complex Variables
2025-09-30 v1
Abstract
A simple and efficient formula is proposed for varying Abelian integrals (including their periods) under variation of the generators of the classical Schottky group representing a Riemann surface.
Cite
@article{arxiv.2509.22702,
title = {Variational formula in the Schottky model of Riemann surfaces},
author = {Andrei Bogatyrev},
journal= {arXiv preprint arXiv:2509.22702},
year = {2025}
}
Comments
3 pages