國立高雄大學圖資館 |

登入

回首頁

Local systems in algebraic-arithmetic geometry

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Local systems in algebraic-arithmetic geometryby Helene Esnault.
作者:	Esnault, Helene.
出版者:	Cham :Springer Nature Switzerland :2023.
面頁冊數:	vii, 94 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Geometry, Algebraic.
電子資源:	https://doi.org/10.1007/978-3-031-40840-3
ISBN:	9783031408403$q(electronic bk.)

Local systems in algebraic-arithmetic geometry
Esnault, Helene.

Local systems in algebraic-arithmetic geometry[electronic resource] /by Helene Esnault. - Cham :Springer Nature Switzerland :2023. - vii, 94 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v. 23371617-9692 ;. - Lecture notes in mathematics ;2035..

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.

ISBN: 9783031408403$q(electronic bk.)

Standard No.: 10.1007/978-3-031-40840-3doiSubjects--Topical Terms:

190843
Geometry, Algebraic.

LC Class. No.: QA564

Dewey Class. No.: 516.35

Local systems in algebraic-arithmetic geometry
LDR:01940nmm a2200325 a 4500 001 651491
003 DE-He213
005 20230919182037.0
006 m d
007 cr nn 008maaau
008 240327s2023 sz s 0 eng d
020 $a 9783031408403$q(electronic bk.)
020 $a 9783031408397$q(paper)
024 7 $a 10.1007/978-3-031-40840-3 $2 doi
035 $a 978-3-031-40840-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA564
072 7 $a PBMW $2 bicssc
072 7 $a MAT012010 $2 bisacsh
072 7 $a PBMW $2 thema
082 0 4 $a 516.35 $2 23
090 $a QA564 $b .E76 2023
100 1 $a Esnault, Helene. $3 961733
245 1 0 $a Local systems in algebraic-arithmetic geometry $h [electronic resource] / $c by Helene Esnault.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2023.
300 $a vii, 94 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 1617-9692 ; $v v. 2337
520 $a 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.
650 0 $a Geometry, Algebraic. $3 190843
650 1 4 $a Algebraic Geometry. $3 274807
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in mathematics ; $v 2035. $3 557764
856 4 0 $u https://doi.org/10.1007/978-3-031-40840-3
950 $a Mathematics and Statistics (SpringerNature-11649)