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Local Systems in Algebraic-Arithmetic Geometry / / by Hélène Esnault



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Autore: Esnault Hélène Visualizza persona
Titolo: Local Systems in Algebraic-Arithmetic Geometry / / by Hélène Esnault Visualizza cluster
Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023
Edizione: 1st ed. 2023.
Descrizione fisica: 1 online resource (VII, 94 p. 15 illus.)
Disciplina: 516.35
Soggetto topico: Geometry, Algebraic
Algebraic Geometry
Nota di bibliografia: Includes bibliographical references.
Sommario/riassunto: 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.
Titolo autorizzato: Local Systems in Algebraic-Arithmetic Geometry  Visualizza cluster
ISBN: 9783031408403
3031408403
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910993986303321
Lo trovi qui: Univ. Federico II
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Serie: Lecture Notes in Mathematics, . 1617-9692 ; ; 2337