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Adelic Line Bundles on Quasi-Projective Varieties

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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 H...