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math.NT2021★ 2 cited
A note on Tate's conjectures for abelian varieties
Chao Li, Wei Zhang
In this mostly expository note, we explain a proof of Tate's two conjectures [Tat65] for algebraic cycles of arbitrary codimension on certain products of elliptic curves and abelia…
math.NT2021★ 1 cited
On the arithmetic Siegel--Weil formula for GSpin Shimura varieties
Chao Li, Wei Zhang
We formulate and prove a local arithmetic Siegel--Weil formula for GSpin Rapoport--Zink spaces, which is a precise identity between the arithmetic intersection numbers of special c…