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  1. Bog
  2. Geometri
  3. Algebraisk geometri

Drinfeld Modules

Af: Mihran Papikian Engelsk Hardback

Drinfeld Modules

Af: Mihran Papikian Engelsk Hardback
Tjek vores konkurrenters priser
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.


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Tjek vores konkurrenters priser
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Fragt: 39 kr
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Tjek vores konkurrenters priser
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.


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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 526
ISBN-13: 9783031197062
Indbinding: Hardback
Udgave:
ISBN-10: 3031197062
Kategori: Algebraisk geometri
Udg. Dato: 1 apr 2023
Længde: 37mm
Bredde: 163mm
Højde: 240mm
Forlag: Springer International Publishing AG
Oplagsdato: 1 apr 2023
Forfatter(e): Mihran Papikian
Forfatter(e) Mihran Papikian

Kategori Algebraisk geometri

ISBN-13 9783031197062

Sprog Engelsk

Indbinding Hardback

Sider 526

Udgave

Længde 37mm

Bredde 163mm

Højde 240mm

Udg. Dato 1 apr 2023

Oplagsdato 1 apr 2023

Forlag Springer International Publishing AG

Kategori sammenhænge