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arXiv · 2509.22702

Variational formula in the Schottky model of Riemann surfaces

Andrei Bogatyrev
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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.

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Andrei Bogatyrev. 2025-09-22. Variational formula in the Schottky model of Riemann surfaces. https://arxiv.org/abs/2509.22702

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