Papikian

Drinfeld Modules

Springer

ISBN 978-3-031-19709-3

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Bibliografische Daten

Fachbuch

Buch. Softcover

2024

1 s/w-Abbildung, Bibliographien.

In englischer Sprache

Umfang: xxi, 526 S.

Format (B x L): 15,5 x 23,5 cm

Verlag: Springer

ISBN: 978-3-031-19709-3

Weiterführende bibliografische Daten

Das Werk ist Teil der Reihe: Graduate Texts in Mathematics; 296

Produktbeschreibung

This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory. After the first two chapters conveniently recalling prerequisites from abstract algebra and non-Archimedean analysis, Chapter 3 introduces Drinfeld modules and the key notions of isogenies and torsion points. Over the next four chapters, Drinfeld modules are studied in settings of various fields of arithmetic importance, culminating in the case of global fields. Throughout, numerous number-theoretic applications are discussed, and the analogies between classical and function field arithmetic are emphasized. Drinfeld Modules guides readers from the basics to research topics in function field arithmetic, assuming only familiarity with graduate-level abstract algebra as prerequisite. With exercises of varying difficulty included in each section, the book is designed to be used as the primary textbook for a graduate course on the topic, and may also provide a supplementary reference for courses in algebraic number theory, elliptic curves, and related fields. Furthermore, researchers in algebra and number theory will appreciate it as a self-contained reference on the topic

Autorinnen und Autoren

Kundeninformationen

Offers an accessible introduction to Drinfeld modules Features a hands-on, "computational" style, containing numerous exercises Provides a self-contained, high-quality reference for researchers

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