Titlebook: Algebra and Galois Theories; Régine Douady,Adrien Douady Textbook 2020 Springer Nature Switzerland AG 2020 Galois Theory.Coverings, fundam

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,Dessins d’Enfants,nly embeds in the product of ., as . runs through the set of irreducible polynomials of ., but this set is itself not easy to understand if only because there is no natural way of numbering the roots of a polynomial.

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Régine Douady,Adrien DouadyThis book aims to transfer geometric intuition to the algebraic framework of Galois theory.Gives a parallel presentation of Galois theory and the theory of covering spaces and highlights this similari

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https://doi.org/10.1007/978-3-030-45537-8 on .. If . is a compact connected Riemann surface over . (i.e. equipped with a non constant morphism .), then the field . is a finite extension of .. Moreover, there is a finite subset . of . such that . is a connected finite cover of .. The functors . and . give an equivalence between the category

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