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Bibliographic Details
Main Author: Korikov, Dmitrii
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2501.10595
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Table of Contents:
  • As is well-known, a conformal class of a surface $M$ with boundary $Γ$ is determined by its DN map $Λ$. In the paper, the algorithm for determination of the $b$-period matrix $\mathbb{B}$ of the (Schottky) double of surface with boundary via $Λ$ is presented. Due to the Torelli theorem, $\mathbb{B}$ contains all information on the conformal class of $M$ except the proper way of attaching $Γ$ to it.