An Euler system for GU(2, 1)

David Loeffler; Christopher Skinner; Sarah Livia Zerbes

doi:10.1007/s00208-021-02224-4

An Euler system for GU(2, 1)

David Loeffler
, Christopher Skinner
, Sarah Livia Zerbes

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We construct an Euler system associated to regular algebraic, essentially conjugate self-dual cuspidal automorphic representations of GL3 over imaginary quadratic fields, using the cohomology of Shimura varieties for GU (2 , 1).

Original language	English (US)
Pages (from-to)	1091-1141
Number of pages	51
Journal	Mathematische Annalen
Volume	382
Issue number	3-4
DOIs	https://doi.org/10.1007/s00208-021-02224-4
State	Published - Apr 2022

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "An Euler system for GU(2, 1)",

abstract = "We construct an Euler system associated to regular algebraic, essentially conjugate self-dual cuspidal automorphic representations of GL3 over imaginary quadratic fields, using the cohomology of Shimura varieties for GU (2 , 1).",

author = "David Loeffler and Christopher Skinner and Zerbes, \{Sarah Livia\}",

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year = "2022",

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AU - Loeffler, David

AU - Skinner, Christopher

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N2 - We construct an Euler system associated to regular algebraic, essentially conjugate self-dual cuspidal automorphic representations of GL3 over imaginary quadratic fields, using the cohomology of Shimura varieties for GU (2 , 1).

AB - We construct an Euler system associated to regular algebraic, essentially conjugate self-dual cuspidal automorphic representations of GL3 over imaginary quadratic fields, using the cohomology of Shimura varieties for GU (2 , 1).

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DO - 10.1007/s00208-021-02224-4

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EP - 1141

JO - Mathematische Annalen

JF - Mathematische Annalen

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An Euler system for GU(2, 1)

Abstract

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