The fundamental group of compact Riemann surface
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915177811673088 |
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| author | Kopeliovich, Yaacov |
| author_facet | Kopeliovich, Yaacov |
| contents | We derive presentation and relations for a group of compact Riemann surface that is given as branched cover of the sphere. In the case that one of the permutations is of full cycle of the form $(1...n)$ we derive a straightforward process to obtain the standard presentation of the fundamental group of Algebraic curve in the form $\prod_{i=1}^g[a_i,b_i]=1$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_11409 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The fundamental group of compact Riemann surface Kopeliovich, Yaacov Complex Variables We derive presentation and relations for a group of compact Riemann surface that is given as branched cover of the sphere. In the case that one of the permutations is of full cycle of the form $(1...n)$ we derive a straightforward process to obtain the standard presentation of the fundamental group of Algebraic curve in the form $\prod_{i=1}^g[a_i,b_i]=1$ |
| title | The fundamental group of compact Riemann surface |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2311.11409 |