Denominators of Eisenstein cohomology classes for GL2 over imaginary quadratic fields |
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Authors: | Tobias Berger |
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Institution: | (1) Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, University of Cambridge, Cambridge, CB3 0WB, UK |
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Abstract: | We study the arithmetic of Eisenstein cohomology classes for symmetric spaces associated to GL2 over imaginary quadratic fields. We prove in many cases a lower bound on their denominator in terms of an L-value of a Hecke character providing evidence for a conjecture of Harder that the denominator is given by this L-value. Furthermore, we exibit conditions under which the restriction of the classes to the boundary is integral. |
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Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 11F75 11F67 22E41 |
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