Titlebook: Drinfeld Modules; Mihran Papikian Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Natur

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Melodrama

Algebraic Preliminaries,sis on the concepts that are particularly important in this book, such as the ring of polynomials, modules over this ring, algebraic and inseparable field extensions, finite fields, and central simple algebras.

Supplement

HERE

Basic Properties of Drinfeld Modules, . acts via certain linearized polynomials in .[.]. In this chapter, we study the basic properties of Drinfeld modules which are valid over arbitrary fields. Later in the book we will be interested in the properties of Drinfeld modules defined over arithmetically interesting fields, such as finite f

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冷淡周邊

Ossification

Chen Change Loy,Ping Luo,Chen Huangsome basic notions of analysis in the setting of complete non-Archimedean fields, such as the radius of convergence of a power series, the Weierstrass factorization theorem, and the existence and distribution of zeros of entire functions.

蘆筍

Textbook 2023irst 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

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