Local Systems in Algebraic-Arithmetic Geometry
Hélène Esnault
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.
Kategori:
Jilid:
2337
Tahun:
2023
Penerbit:
Springer
Bahasa:
english
Halaman:
101
ISBN 10:
3031408403
ISBN 13:
9783031408403
Nama siri:
Lecture Notes in Mathematics No. 2337
Fail:
PDF, 2.87 MB
IPFS:
,
english, 2023
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