1 citations · 1 across the 5 of their papers we have counts for
6 papers
On questions of Pogorelov and Toponogov
Lei Ni, Wei Zhang, Yijian Zhang
We give explicit counterexamples to two questions. One is asked by Pogorelov and the other is by Toponogov. These questions concern the existence of closed asymptotic curves in a s…
More regular formal moduli spaces and arithmetic transfer conjectures: the ramified quadratic case
Yu Luo, Michael Rapoport, Wei Zhang
For unitary groups associated to a ramified quadratic extension of a -adic field, we define various regular formal moduli spaces of -divisible groups with parahoric levels, c…
Quasi-canonical AFL and Arithmetic Transfer conjectures at parahoric levels
Chao Li, Michael Rapoport, Wei Zhang
In the first part of the paper, we formulate several arithmetic transfer conjectures, which are variants of the arithmetic fundamental lemma conjecture in the presence of ramificat…
High dimensional Gross--Zagier formula: a survey
Wei Zhang
We survey recent developments on generalizing the Gross--Zagier formula to high dimensional Shimura varieties, with an emphasis on the Arithmetic Gan--Gross--Prasad conjecture and…
Vanishing results for the modified diagonal cycles II: Shimura curves
Congling Qiu, Wei Zhang
We prove vanishing results for the modified diagonal cycles in the Chow groups of the triple products of Shimura curves and their motivic direct summands. In particular we find exa…
Toward classfication of rational vertex operator algebras with central charges less than 1
C. Dong, W. Zhang
The rational and C_2-cofinite simple vertex operator algebras whose effective central charges and the central charges c are equal and less than 1 are classified. Such a vertex oper…