3 papers
math.DG2026
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…
math.NT2026
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…
math.NT2025
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…