On the cohomology of certain PEL-type Shimura varieties

By E. Mantovan. 2005

87 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/77f424c1745e74301c081b31fbfcc88ae5f15e61

How researchers see this paper

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

In Geometry and Topology

1. Thomas J. Haines
2. Xuhua He
3. Ulrich Goertz
4. Daniel C. Reuman
5. E. Viehmann
6. Peter Scholze
7. R. Kottwitz
8. Michael Rapoport

In Mathematical Physics

1. Thomas J. Haines
2. Xuhua He
3. Ulrich Goertz
4. Daniel C. Reuman
5. R. Kottwitz
6. Michael Rapoport
7. Peter Scholze
8. E. Viehmann

Citations in the corpus

• The Local Langlands Correspondence for GLn over p-adic fields (2012, methodology): “This method has been extended to more general Shimura varieties through the work of Mantovan, [19, 20], and Shin, [27], and allows one to give expressions for the trace of arbitrary Hecke correspondences at p on a Shimura variety.”
• Dimensions of some affine Deligne–Lusztig varieties (2005, methodology): “Moreover, using Oort’s [26] and Mantovan’s [8,20] description of S(b) as the product (up to a finite morphism) of the Rapoport–Zink space M and the “central leaf” C(b) in S(b), we should have dimC(b) = dimS(b)− dimXμ(b).”