02577nam 22005175 450 991099398630332120260408162033.09783031408403(ebook)303140840310.1007/978-3-031-40840-3(CKB)5580000000692310(PPN)272733962(DE-He213)978-3-031-40840-3(EXLCZ)99558000000069231020230919d2023 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierLocal Systems in Algebraic-Arithmetic Geometry /by Hélène Esnault1st ed. 2023.Cham :Springer Nature Switzerland :Imprint: Springer,2023.1 online resource (VII, 94 p. 15 illus.)Lecture Notes in Mathematics,1617-9692 ;23379783031408397 303140839X Includes bibliographical references.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.Lecture Notes in Mathematics,1617-9692 ;2337Geometry, AlgebraicAlgebraic GeometryGeometria algebraicathubLlibres electrònicsthubGeometry, Algebraic.Algebraic Geometry.Geometria algebraica516.35Esnault Hélèneauthttp://id.loc.gov/vocabulary/relators/aut1429282MiAaPQMiAaPQMiAaPQBOOK9910993986303321Local Systems in Algebraic-Arithmetic Geometry3568024UNINA