Adelic Line Bundles on Quasi-Projective Varieties - Couverture souple

Yuan, Xinyi; Zhang, Shou-Wu

 
9780691271736: Adelic Line Bundles on Quasi-Projective Varieties
Couverture souple
ISBN 10 : 0691271739 ISBN 13 : 9780691271736
Editeur : Princeton University Press, 2026

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

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).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Princeton University Press
Date d'édition
2026
Langue
anglais
ISBN 10 
0691271739
ISBN 13 
9780691271736
Reliure
Broché
Nombre de pages
280
Coordonnées du fabricant
Princeton University Press
https://press.princeton.edu/books

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Personne responsable
non disponible

Autres éditions populaires du même titre

9780691271729: Adelic Line Bundles on Quasi-projective Varieties

Edition présentée

ISBN 10 :  0691271720 ISBN 13 :  9780691271729
Editeur : Princeton University Press, 2026
Couverture rigide