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Local Systems in Algebraic-Arithmetic Geometry
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Local Systems in Algebraic-Arithmetic Geometry

1st ed. 2023

Book Details

Format Paperback / softback
ISBN-10 303140839X
ISBN-13 9783031408397
Edition 1st ed. 2023
Publisher Springer International Publishing AG
Imprint Springer International Publishing AG
Country of Manufacture GB
Country of Publication GB
Publication Date Sep 20th, 2023
Print length 94 Pages
Product Classification: Algebraic geometry
KSh 9,000.00
Currently unavailable 0 in stock

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The topological fundamental group of a smooth complex algebraic variety is poorly understood. 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.
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.

Get Local Systems in Algebraic-Arithmetic Geometry by Hélène Esnault at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Springer International Publishing AG and it has 94 pages.

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