Towards a theory of local Shimura varieties

By Michael Rapoport, E. Viehmann. 2014

114 citations recorded by the source corpus.

This is a survey article that advertises the idea that there should exist a theory of p-adic local analogues of Shimura varieties. Prime examples are the towers of rigid-analytic spaces defined by Rapoport-Zink spaces, and we also review their theory in the light of this idea. We also discuss conjectures on the l-adic cohomology of local Shimura varieties.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8a8b1e5258c960fdf192d40ba4d6f69d765f03ce

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Xuhua He
2. S. Nie
3. Ulrich Goertz

In Geometry and Topology

1. Xuhua He
2. S. Nie
3. Ulrich Goertz
4. Michael Rapoport
5. Thomas J. Haines
6. Georgios Pappas
7. E. Viehmann

In Mathematical Physics

1. Xuhua He
2. S. Nie
3. Ulrich Goertz
4. Michael Rapoport
5. Thomas J. Haines
6. Georgios Pappas
7. E. Viehmann

Citations in the corpus

• Fully Hodge–Newton Decomposable Shimura Varieties (2016, background): “, lies in the image of the map; this means that the closed immersion above should be thought of as the composition of the map in [47] and the automorphism of M given by the change of framing object, analogously to the map (3.”