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Titlebook: Arithmetic and Geometry over Local Fields; VIASM 2018 Bruno Anglès,Tuan Ngo Dac Book 2021 Springer Nature Switzerland AG 2021 Differential

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发表于 2025-3-21 18:20:46 | 显示全部楼层 |阅读模式
期刊全称Arithmetic and Geometry over Local Fields
期刊简称VIASM 2018
影响因子2023Bruno Anglès,Tuan Ngo Dac
视频video
发行地址Designed to enable young mathematicians to tackle concrete research problems.Gives an overview of recent developments in arithmetic and geometry over local fields.Provides a self-contained course on D
学科分类Lecture Notes in Mathematics
图书封面Titlebook: Arithmetic and Geometry over Local Fields; VIASM  2018 Bruno Anglès,Tuan Ngo Dac Book 2021 Springer Nature Switzerland AG 2021 Differential
影响因子.This volume introduces some recent developments in Arithmetic Geometry over local fields. Its seven chapters are centered around two common themes: the study of Drinfeld modules and non-Archimedean analytic geometry. The notes grew out of lectures held during the research program "Arithmetic and geometry of local and global fields" which took place at the Vietnam Institute of Advanced Study in Mathematics (VIASM) from June to August 2018...The authors, leading experts in the field, have put great effort into making the text as self-contained as possible, introducing the basic tools of the subject. The numerous concrete examples and suggested research problems will enable graduate students and young researchers to quickly reach the frontiers of this fascinating branch of mathematics..
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发表于 2025-3-21 22:23:22 | 显示全部楼层
,Difference Galois Theory for the “Applied” Mathematician,e chosen to omit the proofs that are already presented in details in many references in the literature, although they were explained during the lectures, and we have devoted more space to statements useful in the applications. The applications concern many different mathematical settings, where line
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Berkovich Curves and Schottky Uniformization II: Analytic Uniformization of Mumford Curves,It is more advanced than the first part and covers the theory of Mumford curves and Schottky uniformization. We start by briefly reviewing the theory of Berkovich curves, then introduce Mumford curves in a purely analytic way (without using formal geometry). We define Schottky groups acting on the B
发表于 2025-3-22 12:59:53 | 显示全部楼层
On the Stark Units of Drinfeld Modules, of a Drinfeld module as defined by Taelman. We review some recent results on Drinfeld .-modules which make use of this notion. In particular, we present the “discrete Greenberg conjectures” which explain the structure of the class module of the canonical multi-variable deformations of the Carlitz m
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Concurrency and Multi-Versioning,We define the Berkovich affine line and present its main properties, with many details: classification of points, path-connectedness, metric structure, variation of rational functions, etc. Contrary to many other introductory texts, we do not assume that the base field is algebraically closed.
发表于 2025-3-23 08:17:50 | 显示全部楼层
Concurrency and Multi-Versioning,ent the “discrete Greenberg conjectures” which explain the structure of the class module of the canonical multi-variable deformations of the Carlitz module, and a result on the non vanishing modulo a given prime of a class of Bernoulli-Carlitz numbers.
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