Adelic line bundles on quasi-projective varieties

Published 28 May 2021 in math.NT and math.AG | (2105.13587v9)

Abstract: In this book, we establish a theory of adelic line bundles over quasi-projective varieties over finitely generated fields. Besides definitions of adelic line bundles, we consider their intersection theory, volume theory, and height theory, and apply these to study heights of algebraic points of quasi-projective varieties.

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