Adelic Line Bundles on Quasi-Projective Varieties

Name: Adelic Line Bundles on Quasi-Projective Varieties
Price: 135 AUD
Availability: OutOfStock
ISBN: 9780691271736

Xinyi Yuan, Shou-Wu Zhang

$135

Paperback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We will update you on expected arrival time to us. If this delay is too long, please let us know within 2 business days and we can give you options regarding cancelling or adjusting your order. More details on cancelling your order can be found in our Terms of Trade.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Princeton University Press
13 January 2026

Algebra; Number theory

Series: Annals of Mathematics Studies

A comprehensive new theory of adelic line bundles on quasi-projective varieties over finitely generated fields

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 arithmetic compactifications, also under the boundary topology. After establishing these foundational definitions, the book uses the theory to explore key concepts such as intersection theory, effective sections, volumes, and positivity of adelic line bundles. It also applies these results to study height functions of algebraic points and prove an equidistribution theorem on quasi-projective varieties. This theory has broad applications in the study of numerical, dynamical, and Diophantine properties of moduli spaces, quasi-projective varieties, and varieties over finitely generated fields.

By: Xinyi Yuan, Shou-Wu Zhang
Imprint: Princeton University Press
Country of Publication: United States
Dimensions: Height: 235mm, Width: 156mm,
ISBN: 9780691271736
ISBN 10: 0691271739
Series: Annals of Mathematics Studies
Pages: 280
Publication Date: 13 January 2026
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active

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).