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math.AG2021
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…
math.AG2010★ 4 cited
Positivity of heights of codimension 2 cycles over function field of characteristic 0
Shou-Wu Zhang
In this note, we show how the classical Hodge index theorem implies the Hodge index conjecture of Beilinson for height pairing of homologically trivial codimension two cycles over…