Compactly supported cohomology and nearby cycle cohomology of open Shimura varieties of PEL type

Details Compactly supported cohomology and nearby cycle cohomology of open Shimura varieties of PEL type Compactly supported cohomology and nearby cycle cohomology of open Shimura varieties of PEL type

2011-09-22

arxiv.org/abs/1109.4697v2

Mathematics

Number Theory

35 pages, typo corrected

Scientific paper

In this paper, we compare two cohomology groups associated to Shimura varieties of PEL type, which are not proper over the base. One is the compactly supported l-adic cohomology, and the other is the nearby cycle cohomology, namely, the compactly supported cohomology of the nearby cycle complex for the canonical integral model of the Shimura variety over Z_p. We prove that the G(Q_p)-cuspidal part of these cohomology groups are the same, where G denotes the reductive algebraic group naturally attached to the PEL datum. Some applications to unitary Shimura varieties are also given.

Affiliated with

Also associated with

No associations

Rating

Compactly supported cohomology and nearby cycle cohomology of open Shimura varieties of PEL type does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Compactly supported cohomology and nearby cycle cohomology of open Shimura varieties of PEL type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Compactly supported cohomology and nearby cycle cohomology of open Shimura varieties of PEL type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-262224