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The Eichler-Shimura cohomology in the case of Siegel modular forms

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Abstract

One generalizes the Eichler-Shimura result, connecting the space of parabolic modular forms relative to a group γ with the cohomologies of the group γ, to the case of the Siegel modular forms.

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Literature cited

  1. G. Shimura, “Sur les intégrales attachées aux formes automorphes,” J. Math. Soc. Jpn.,11, No. 4, 291–311 (1959).

    Google Scholar 

  2. M. Eichler, “Eine Verallgemeinerung der Abelschen Integrale,” Math. Z.,67, No. 3, 267–298 (1957).

    Google Scholar 

  3. Y. Namikawa, Toroidal Compactification of Siegel Spaces, Lecture Notes in Math., No. 812, Springer, Berlin (1980).

    Google Scholar 

  4. E. Viehweg, “Vanishing theorems,” J. Reine Angew. Math.,335, 1–8 (1982).

    Google Scholar 

  5. Y. Kawamata, “A generalization of Kodaira-Ramanujam' s vanishing theorem,” Math. Ann.,261, No. 1, 43–46 (1982).

    Google Scholar 

  6. I. Kra, Automorphic Forms and Kleinian Groups, Benjamin, Reading, Mass. (1972).

    Google Scholar 

  7. P. Bayer and J. Neukirch, “On automorphic forms and Hodge theory,” Math. Ann.,257, No. 2, 137–155 (1981).

    Google Scholar 

  8. H. Maass, “Siegel's modular forms and Dirichlet series,” Lecture Notes in Math., No. 216, Springer, Berlin (1971).

    Google Scholar 

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 144, pp. 128–135, 1985.

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Nenashev, A.Y. The Eichler-Shimura cohomology in the case of Siegel modular forms. J Math Sci 38, 2125–2131 (1987). https://doi.org/10.1007/BF01474446

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  • DOI: https://doi.org/10.1007/BF01474446

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