Adelic Line Bundles on Quasi-Projective Varieties
Book Details
Format
Hardback or Cased Book
Book Series
Annals of Mathematics Studies
ISBN-10
0691271720
ISBN-13
9780691271729
Publisher
Princeton University Press
Imprint
Princeton University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jan 13th, 2026
Print length
240 Pages
Product Classification:
MathematicsAlgebraNumber theory
Ksh 24,850.00
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A comprehensive new theory of adelic line bundles on quasi-projective varieties over finitely generated fieldsThis 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.
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