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- W4366000664 abstract "Abstract It is known that sometimes, a Belyi pair is not defined over its field of moduli. Instead, it is defined over a finite degree extension of its field of moduli, called a field of definition. We show that given a number , there exists a Belyi pair such that the degree of a field of definition over the field of moduli is greater than . As a by‐product, we obtain a counterexample to the local‐global principle for Belyi pairs." @default.
- W4366000664 created "2023-04-17" @default.
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- W4366000664 date "2023-04-15" @default.
- W4366000664 modified "2023-10-17" @default.
- W4366000664 title "On the fields of definition of genus‐one covers of P1$mathbb {P}^1$" @default.
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- W4366000664 doi "https://doi.org/10.1112/blms.12840" @default.
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