Jean-Benoît Bost: Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves
Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves
Buch
- Springer International Publishing AG, 08/2020
- Einband: Gebunden, HC runder Rücken kaschiert
- Sprache: Englisch
- ISBN-13: 9783030443283
- Bestellnummer: 10285906
- Umfang: 408 Seiten
- Nummer der Auflage: 20001
- Auflage: 1st ed. 2020
- Gewicht: 776 g
- Maße: 241 x 160 mm
- Stärke: 27 mm
- Erscheinungstermin: 22.8.2020
- Serie: Progress in Mathematics - Band 334
Achtung: Artikel ist nicht in deutscher Sprache!
Weitere Ausgaben von Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves
Klappentext
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.