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Drinfeld Modules (Hardcover, 1st ed. 2023)
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Drinfeld Modules (Hardcover, 1st ed. 2023)
Series: Graduate Texts in Mathematics, 296
Expected to ship within 9 - 17 working days
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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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