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Chow groups and L-derivatives of automorphic motives for unitary groups, II.

Authors :
Chao Li
Yifeng Liu
Source :
Forum of Mathematics, Pi. 3/4/2022, Vol. 10, p1-71. 71p.
Publication Year :
2022

Abstract

In this article, we improve our main results from [LL21] in two directions: First, we allow ramified places in the CM extension E/F at which we consider representations that are spherical with respect to a certain special maximal compact subgroup, by formulating and proving an analogue of the Kudla--Rapoport conjecture for exotic smooth Rapoport-Zink spaces. Second, we lift the restriction on the components at split places of the automorphic representation, by proving a more general vanishing result on certain cohomology of integral models of unitary Shimura varieties with Drinfeld level structures. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20505086
Volume :
10
Database :
Academic Search Index
Journal :
Forum of Mathematics, Pi
Publication Type :
Academic Journal
Accession number :
155564775
Full Text :
https://doi.org/10.1017/fmp.2022.2