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Adelic Line Bundles on Quasi-Projective Varieties
Engelsk
Bogcover for Adelic Line Bundles on Quasi-Projective Varieties af Shou-wu Zhang, Xinyi Yuan, 9780691271736
Specifikationer
Sprog:
Engelsk
Sider:
280
ISBN-13:
9780691271736
Indbinding:
Paperback
ISBN-10:
0691271739
Kategori:
Udg. Dato:
13 jan 2026
Størrelse i cm:
23,5 x 15,6
Serie:
Annals of Mathematics Studies
Oplagsdato:
13 jan 2026
Forfatter(e):

Adelic Line Bundles on Quasi-Projective Varieties

Engelsk
Paperback 2026
Format:

Bog beskrivelse

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.

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Udkommer 13-01-2026

Specifikationer
Sprog:
Engelsk
Sider:
280
ISBN-13:
9780691271736
Indbinding:
Paperback
ISBN-10:
0691271739
Kategori:
Udg. Dato:
13 jan 2026
Størrelse i cm:
23,5 x 15,6
Serie:
Annals of Mathematics Studies
Oplagsdato:
13 jan 2026
Forfatter(e):
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