LEADER 02454nam 22004815 450 001 9910993986303321 005 20251009084941.0 010 $a9783031408403$b(ebook) 010 $a3031408403 024 7 $a10.1007/978-3-031-40840-3 035 $a(CKB)5580000000692310 035 $a(PPN)272733962 035 $a(DE-He213)978-3-031-40840-3 035 $a(EXLCZ)995580000000692310 100 $a20230919d2023 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLocal Systems in Algebraic-Arithmetic Geometry /$fby Hélène Esnault 205 $a1st ed. 2023. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2023. 215 $a1 online resource (VII, 94 p. 15 illus.) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v2337 311 08$a9783031408397 311 08$a303140839X 320 $aIncludes bibliographical references. 330 $aThe topological fundamental group of a smooth complex algebraic variety is poorly understood. One way to approach it is to consider its complex linear representations modulo conjugation, that is, its complex local systems. A fundamental problem is then to single out the complex points of such moduli spaces which correspond to geometric systems, and more generally to identify geometric subloci of the moduli space of local systems with special arithmetic properties. Deep conjectures have been made in relation to these problems. This book studies some consequences of these conjectures, notably density, integrality and crystallinity properties of some special loci. This monograph provides a unique compelling and concise overview of an active area of research and is useful to students looking to get into this area. It is of interest to a wide range of researchers and is a useful reference for newcomers and experts alike. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v2337 606 $aGeometry, Algebraic 606 $aAlgebraic Geometry 615 0$aGeometry, Algebraic. 615 14$aAlgebraic Geometry. 676 $a516.35 700 $aEsnault$b Hélène$4aut$4http://id.loc.gov/vocabulary/relators/aut$01429282 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910993986303321 996 $aLocal Systems in Algebraic-Arithmetic Geometry$93568024 997 $aUNINA