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portada Local Systems in Algebraic-Arithmetic Geometry
Type
Physical Book
Author
Publisher
Language
English
Pages
94
Format
Paperback
Dimensions
23.4x15.6x0.6 cm
Weight
0.16 kg.
ISBN13
9783031408397
Categories

Local Systems in Algebraic-Arithmetic Geometry

Hélène Esnault (Author) · Springer · Paperback

Local Systems in Algebraic-Arithmetic Geometry - Esnault, Hélène

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Synopsis "Local Systems in Algebraic-Arithmetic Geometry"

The topological fundamental group of a smooth complex algebraic variety is poorly understood. One way to approach it is to consider its complex linear representations modulo conjugation, that is, its complex local systems. A fundamental problem is then to single out the complex points of such moduli spaces which correspond to geometric systems, and more generally to identify geometric subloci of the moduli space of local systems with special arithmetic properties. Deep conjectures have been made in relation to these problems. This book studies some consequences of these conjectures, notably density, integrality and crystallinity properties of some special loci.This monograph provides a unique compelling and concise overview of an active area of research and is useful to students looking to get into this area. It is of interest to a wide range of researchers and is a useful reference for newcomers and experts alike.

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