7 citations · 8 across the 2 of their papers we have counts for
3 papers
math.NT2013★ 1 cited
The arithmetic Hodge index theorem for adelic line bundles I
Xinyi Yuan, Shou-Wu Zhang
This is the first paper of a series. We prove an arithmetic Hodge index theorem for adelic line bundles on projective varieties over number fields. It extends the arithmetic Hodge…
math.NT2008★ 7 cited
Gross--Schoen Cycles and Dualising Sheaves
Shou-Wu Zhang
The aim of this paper is to study the modified diagonal cycle in the triple product of a curve over a global field defined by Gross and Schoen. Our main result is an identity betwe…
math.NT2001
Heights of Heegner points on Shimura curves
Shouwu Zhang
The purpose of this paper is to generalize some results of Gross-Zagier [20] and Kolvyvagin [28] to totally real fields.