Quasi-Projective and Formal-Analytic Arithmetic Surfaces, 9780691287867
Hardcover
Formal-analytic arithmetic surfaces: a new bridge between algebra and analysis.
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Quasi-Projective and Formal-Analytic Arithmetic Surfaces

$443.67

  • Hardcover

    264 pages

  • Release Date

    15 September 2026

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Summary

A milestone in the geometric understanding of algebraization theorems that also provides an introduction to Arakelov geometry

Motivated by questions of transcendental number theory, arithmetic, and Diophantine geometry, this book provides a thorough study of a new kind of mathematical object—formal-analytic arithmetic surfaces. These are arithmetic counterparts in Arakelov geometry of germs of complex surfaces along projective complex curves. Formal-analytic arithmeti…

Book Details

ISBN-13:9780691287867
ISBN-10:0691287864
Author:Jean-Benoît Bost, François Charles
Publisher:Princeton University Press
Imprint:Princeton University Press
Format:Hardcover
Number of Pages:264
Release Date:15 September 2026
Dimensions:235mm x 156mm
Series:Annals of Mathematics Studies
About The Author

Jean-Benoît Bost

Jean-Benoît Bost is professor of mathematics at the Université Paris-Saclay. He is the author of Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves.

François Charles is professor of mathematics at École Normale Supérieure in Paris and Université Paris-Saclay.

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