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Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves (Hardcover, 1st ed. 2020) Loot Price: R3,749
Discovery Miles 37 490
Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves (Hardcover, 1st...

Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves (Hardcover, 1st ed. 2020)

Jean-Benoit Bost

Series: Progress in Mathematics, 334

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Loot Price R3,749 Discovery Miles 37 490 | Repayment Terms: R351 pm x 12*

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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.

General

Imprint: Springer Nature Switzerland AG
Country of origin: Switzerland
Series: Progress in Mathematics, 334
Release date: August 2020
First published: 2020
Authors: Jean-Benoit Bost
Dimensions: 235 x 155mm (L x W)
Format: Hardcover
Pages: 365
Edition: 1st ed. 2020
ISBN-13: 978-3-03-044328-3
Categories: Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
Books > Science & Mathematics > Mathematics > Number theory > General
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LSN: 3-03-044328-0
Barcode: 9783030443283

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