Local systems in algebraic-arithmetic geometry / Hélène Esnault.

Author
Esnault, Hélène, 1953- [Browse]
Format
Book
Language
English
Published/​Created
  • Cham, Switzerland : Springer, [2023]
  • ©2023
Description
vii, 91 pages ; 24 cm

Details

Subject(s)
Series
  • Lecture notes in mathematics (Springer-Verlag) ; 2337. [More in this series]
  • Lecture notes in mathematics, 0075-8434 ; volume 2337
Summary note
"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 rese\archers and is a useful reference for newcomers and experts alike."-- Back cover.
Bibliographic references
Includes bibliographical references (pages 87-91).
ISBN
  • 9783031408397 ((paperback))
  • 303140839X ((paperback))
OCLC
1403128645
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