2 papers
math.NT2025
Adelic line bundles on quasi-projective varieties
Xinyi Yuan, Shou-Wu Zhang
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 t…
math.AG2024
Height pairings for algebraic cycles on the product of a curve and a surface
Shou-Wu Zhang
For the product of a curve and a surface over a number field, we construct unconditionally a Beilinson--Bloch type height pairing for homologically trivial algebraic…