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

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发表于 2025-3-21 17:31:11 | 显示全部楼层 |阅读模式
期刊全称Algebra and Galois Theories
影响因子2023Régine Douady,Adrien Douady
视频videohttp://file.papertrans.cn/153/152487/152487.mp4
发行地址This 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
图书封面Titlebook: Algebra and Galois Theories;  Régine Douady,Adrien Douady Textbook 2020 Springer Nature Switzerland AG 2020 Galois Theory.Coverings, fundam
影响因子.Galois theory has such close analogies with the theory of coverings that algebraists use a geometric language to speak of field extensions, while topologists speak of "Galois coverings". This book endeavors to develop these theories in a parallel way, starting with that of coverings, which better allows the reader to make images. The authors chose a plan that emphasizes this parallelism. The intention is to allow to transfer to the algebraic framework of Galois theory the geometric intuition that one can have in the context of coverings.. This book is aimed at graduate students and mathematicians curious about a non-exclusively algebraic view of Galois theory..
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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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