Davenport–Zannier Polynomials and Dessins d’Enfants
Jun 2020 · Mathematical Surveys and Monographs Book 249 · American Mathematical Soc.
Ebook
187
Pages
About this ebook
The French expression “dessins d'enfants” means children's drawings. This term was coined by the great French mathematician Alexandre Grothendieck in order to denominate a method of pictorial representation of some highly interesting classes of polynomials and rational functions. The polynomials studied in this book take their origin in number theory. The authors show how, by drawing simple pictures, one can prove some long-standing conjectures and formulate new ones. The theory presented here touches upon many different fields of mathematics.
The major part of the book is quite elementary and is easily accessible to an undergraduate student. The less elementary parts, such as Galois theory or group representations and their characters, would need a more profound knowledge of mathematics. The reader may either take the basic facts of these theories for granted or use our book as a motivation and a first approach to these subjects.
About the author
Lomonosov Moscow State University, Moscow, Russia
Ben Gurion University of the Negev, Be’er Sheva, Israel
University of Bordeaux, Talence, France
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