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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.10595 |
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| _version_ | 1866917980336553984 |
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| author | Korikov, Dmitrii |
| author_facet | Korikov, Dmitrii |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10595 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Determination of period matrix of double of surface with boundary via its DN map Korikov, Dmitrii Mathematical Physics 35R30, 46J15, 46J20, 30F15 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. |
| title | Determination of period matrix of double of surface with boundary via its DN map |
| topic | Mathematical Physics 35R30, 46J15, 46J20, 30F15 |
| url | https://arxiv.org/abs/2501.10595 |