Bayer, Pilar; Neukirch, Juergen On automorphic forms and Hodge theory. (English) Zbl 0476.32039 Math. Ann. 257, 137-155 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 Documents MSC: 32N10 Automorphic forms in several complex variables 30F35 Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) 14C30 Transcendental methods, Hodge theory (algebro-geometric aspects) 20G10 Cohomology theory for linear algebraic groups 32N15 Automorphic functions in symmetric domains 11F67 Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols Keywords:cocompact Fuchsian group; space of automorphic forms of weight k+2; polarised Hodge structure PDFBibTeX XMLCite \textit{P. Bayer} and \textit{J. Neukirch}, Math. Ann. 257, 137--155 (1981; Zbl 0476.32039) Full Text: DOI EuDML References: [1] Deligne, P.: Formes modulaires et représentationsl-adiques. Sém. Bourbaki 1968/69, no. 355. Lecture Notes in Mathematics, Vol. 179. Berlin, Heidelberg, New York: Springer 1971 [2] Deligne, P.: Travaux de Griffiths. Sém. Bourbaki 1969/70, no. 376. Lecture Notes in Mathematics, Vol. 180. Berlin, Heidelberg, New York: Springer 1971 [3] Eichler, M.: Eine Verallgemeinerung der Abelschen Integrale. Math. Z.67, 267-298 (1957). · Zbl 0080.06003 [4] Grothendieck, A.: Sur quelques points d’algèbre homologique. Tôhoku Math. J.9, 119-221 (1957) · Zbl 0118.26104 [5] Lehner, J.: Discontinuous groups and automorphic functions. Math. Surveys no. VIII. Providence, Rhode Island: Am. Math. Soc. 1964 [6] Shimura, G.: Sur les intégrales attachés aux formes automorphes. J. Math. Soc. Japan11, 291-311 (1959) · Zbl 0090.05503 [7] Shimura, G.: Introduction to the arithmetic theory of automorphic functions. Publ. Math. Soc. Japan11. Princeton University Press: 1971 · Zbl 0221.10029 [8] Wehrfritz, B.A.F.: Infinite linear groups Ergebnisse der Mathematik Nr. 76. Berlin, Heidelberg, New York: Springer 1973 · Zbl 0261.20038 [9] Zucker, S.: Hodge theory with degenerating coefficients:L 2 cohomology in the Poincaré metric. Ann. Math.109, 415-476 (1979) · Zbl 0446.14002 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.