Adelic Line Bundles on Quasi-Projective Varieties, 9780691271736
Paperback
Limits reveal geometric and arithmetic secrets on quasi-projective varieties.
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Adelic Line Bundles on Quasi-Projective Varieties

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  • Paperback

    240 pages

  • Release Date

    21 April 2026

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Summary

Adelic Line Bundles: A Geometric and Arithmetic Approach

This book introduces a comprehensive theory of adelic line bundles on quasi-projective varieties over finitely generated fields, developed in both geometric and arithmetic contexts.

In the geometric setting, adelic line bundles are defined as limits of line bundles on projective compactifications under the boundary topology. In the arithmetic setting, they are defined as limits of Hermitian line bundles on projective a…

Book Details

ISBN-13:9780691271736
ISBN-10:0691271739
Series:Annals of Mathematics Studies
Author:Xinyi Yuan, Shou-Wu Zhang
Publisher:Princeton University Press
Imprint:Princeton University Press
Format:Paperback
Number of Pages:240
Release Date:21 April 2026
Weight:0g
Dimensions:235mm x 156mm
About The Author

Xinyi Yuan

Xinyi Yuan is a professor at the Beijing International Center for Mathematical Research of Peking University. Shou-Wu Zhang is the Eugene Higgins Professor of Mathematics at Princeton University. Yuan and Zhang are the authors, with Wei Zhang, of The Gross-Zagier Formula on Shimura Curves (Princeton).

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