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math.NT2023
Arithmetic Fundamental Lemma for the spherical Hecke algebra
Chao Li, Michael Rapoport, Wei Zhang
We define Hecke correspondences and Hecke operators on unitary RZ spaces and study their basic geometric properties, including a commutativity conjecture on Hecke operators. Then w…
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…
math.NT2019
Kudla--Rapoport cycles and derivatives of local densities
Chao Li, Wei Zhang
We prove the local Kudla--Rapoport conjecture, which is a precise identity between the arithmetic intersection numbers of special cycles on unitary Rapoport--Zink spaces and the de…