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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Berger, T. Denominators of Eisenstein cohomology classes for GL2 over imaginary quadratic fields. manuscripta math. 125, 427–470 (2008). https://doi.org/10.1007/s00229-007-0139-6
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DOI: https://doi.org/10.1007/s00229-007-0139-6