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Mathematics of the USSR-Izvestiya, 1987, Volume 29, Issue 3, Pages 559–586
DOI: https://doi.org/10.1070/IM1987v029n03ABEH000983 (Mi im1570) 		 
Siegel cusp modular forms and cohomology

A. Yu. Nenashev
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DOI: https://doi.org/10.1070/IM1987v029n03ABEH000983
Abstract: The space of Siegel cusp modular forms is embedded as a direct summand in the cohomology space of the direct image of some locally constant sheaf on the toroidal compactification of the corresponding quotient space of the Siegel upper half-plane. This is a generalization of the classical result of Eichler and Shimura.
Bibliography: 11 titles.
Received: 26.12.1984
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1986, Volume 50, Issue 6, Pages 1204–1230
Bibliographic databases:
UDC: 512.7
MSC: Primary 11F46, 14F05; Secondary 20H10
Language: English
Original paper language: Russian
Citation: A. Yu. Nenashev, “Siegel cusp modular forms and cohomology”, Math. USSR-Izv., 29:3 (1987), 559–586
Citation in format AMSBIB
\Bibitem{Nen86}
\by A.~Yu.~Nenashev
\paper Siegel cusp modular forms and cohomology
\jour Math. USSR-Izv.
\yr 1987
\vol 29
\issue 3
\pages 559--586
\mathnet{http://mi.mathnet.ru//eng/im1570}
\crossref{https://doi.org/10.1070/IM1987v029n03ABEH000983}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=883159}
\zmath{https://zbmath.org/?q=an:0629.10022}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    References:40
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