A topological construction of families of Galois covers of the line
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866910518857433088 |
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| author | Ghigi, Alessandro Tamborini, Carolina |
| author_facet | Ghigi, Alessandro Tamborini, Carolina |
| contents | We describe a new construction of families of Galois coverings of the line using basic properties of configuration spaces, covering theory, and the Grauert-Remmert Extension Theorem. Our construction provides an alternative to a previous construction due to González-Díez and Harvey (which uses Teichmüller theory and Fuchsian groups) and, in the case the Galois group is non-abelian, corrects an inaccuracy therein. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_07817 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A topological construction of families of Galois covers of the line Ghigi, Alessandro Tamborini, Carolina Algebraic Geometry We describe a new construction of families of Galois coverings of the line using basic properties of configuration spaces, covering theory, and the Grauert-Remmert Extension Theorem. Our construction provides an alternative to a previous construction due to González-Díez and Harvey (which uses Teichmüller theory and Fuchsian groups) and, in the case the Galois group is non-abelian, corrects an inaccuracy therein. |
| title | A topological construction of families of Galois covers of the line |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2204.07817 |