The Cohomology of the Hilbert Modular Group

Eberhard Freitag
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Eberhard Freitag: Universität Heidelberg, Mathematisches Institut

Chapter Chapter III in Hilbert Modular Forms, 1990, pp 133-202 from Springer

Abstract: Abstract In this section we compute the Hodge numbers $$h^{p,q} = \dim H^{p,q} \left( {H^n } \right)^\Gamma ,$$ where Γ ⊂ SL(2,ℝ)n is a discrete subgroup with compact quotient H n /Γ. In the case where Γ has no elliptic fixed points all those numbers can be expressed by means of a simple invariant, namely the volume of a fundamental domain with respect to the invariant measure.

Keywords: Analytic Continuation; Differential Form; Eisenstein Series; Cusp Form; Discrete Subgroup (search for similar items in EconPapers)
Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-02638-0_4

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DOI: 10.1007/978-3-662-02638-0_4

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