Norm-compatible systems of cohomology classes for GU(2,2)-Reference-Cited by-同舟云学术

Norm-compatible systems of cohomology classes for GU(2,2)

Published:2019-09-24 Issue:03 Volume:16 Page:461-510
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Cauchi Antonio¹

Affiliation:

1. Département de Mathématiques et de Statistique, Université Laval, Pavillion Alexandre-Vachon, 1045 Avenue de la Médecine, Québec, QC, Canada, G1V 0A6, Canada

Abstract

We describe work of Faltings on the construction of étale cohomology classes associated to symplectic Shimura varieties and show that they satisfy certain trace compatibilities similar to the ones of Siegel units in the modular curve case. Starting from those, we construct a two-variable family of trace compatible classes in the cohomology of a unitary Shimura variety.

Funder

Engineering and Physical Sciences Research Council

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042120500244

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