The fundamental group of Galois covers of surfaces of degree $8$
| Autor: | Amram, Meirav, Gong, Cheng, Roy, Praveen Kumar, Sinichkin, Uriel, Vishne, Uzi |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We compute the fundamental group of the Galois cover of a surface of degree $8$, with singularities of degree $4$ whose degeneration is homeomorphic to a sphere. The group is shown to be a metabelian group of order $2^{23}$. The computation amalgamates local groups, classified elsewhere, by an iterative combination of computational and group theoretic methods. Three simplified surfaces, for which the fundamental group of the Galois cover is trivial, hint toward complications that depend on the homotopy of the degenerated surface. Comment: 25 pages, 17 figures |
| Databáze: | arXiv |
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