163 citations · 227 across the 11 of their papers we have counts for
12 papers
Toric schemes and integral models for Shimura varieties with -type level
Georgios Pappas, Michael Rapoport
We propose a conjectural theory of -integral models of Shimura varieties with level structure at given by a class of normal subgroups of parahoric subgroups with abelian quo…
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…
Shimura varieties and gerbes
Robert P. Langlands, Michael Rapoport
This is the English translation, done by Yihang Zhu, of the paper by Langlands and Rapoport, originally published in J. Reine Angew. Math. 378 (1987), pages 113-220. The translator…
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…
Arithmetic diagonal cycles on unitary Shimura varieties
Michael Rapoport, Brian Smithling, Wei Zhang
We define variants of PEL type of the Shimura varieties that appear in the context of the Arithmetic Gan-Gross-Prasad conjecture. We formulate for them a version of the AGGP conjec…
Local models of Shimura varieties, I. Geometry and combinatorics
G. Pappas, M. Rapoport, B. Smithling
We survey the theory of local models of Shimura varieties. In particular, we discuss their definition and illustrate it by examples. We give an overview of the results on their geo…