Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves

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Éditeur :

Birkhäuser


Collection :

Progress in Mathematics

Paru le : 2020-08-21

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Description

This book presents the most up-to-date and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithmetic curves. It contains a complete description of the theta invariants which give rise to a closer parallel with the geometric case. The author then unfolds his theory of infinite Hermitian vector bundles over arithmetic curves and their theta invariants, which provides a conceptual framework to deal with the sequences of lattices occurring in many diophantine constructions.

The book contains many interesting original insights and ties to other theories. It is written with extreme care, with a clear and pleasant style, and never sacrifices accessibility to sophistication. 

Pages
365 pages
Collection
Progress in Mathematics
Parution
2020-08-21
Marque
Birkhäuser
EAN papier
9783030443283
EAN PDF
9783030443290

Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
36
Taille du fichier
3420 Ko
Prix
126,59 €