Progress in Mathematics

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

Authors: Bost, Jean-Benoît

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  • Contains a complete account of the theta invariants
  • Presents the author's theory of infinite Hermitian vector bundles over arithmetic curves
  • Provides many interesting original insights and ties to other theories
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eBook 46,00 €
93,08 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-44329-0
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  • Immediate eBook download after purchase
Hardcover 57,19 €
114,39 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-44328-3
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About this book

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. 


Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook 46,00 €
93,08 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-44329-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 57,19 €
114,39 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-44328-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves
Authors
Series Title
Progress in Mathematics
Series Volume
334
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-44329-0
DOI
10.1007/978-3-030-44329-0
Hardcover ISBN
978-3-030-44328-3
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XXXIX, 365
Number of Illustrations
1 b/w illustrations
Topics