References
Bayer, P., Neukirch, J.: On automorphic forms and Hodge theory. Math. Ann.257, 135–155 (1981)
Hunt, B.: Gemischte automorphe Formen und elliptische Flächen. Diplomarbeit. Bonn, 1982
Cox, D., Zucker, S.: Intersection numbers of sections of elliptic surfaces. Invent. Math.53, 1–44 (1979)
Hoyt, W.: On elliptic surfaces and automorphic forms. Preprint.
Hoyt, W.: An inhomogeneous Riemann-Roch theorem for generalized automorphic forms. Preprint
Kas, A.: Weierstraß normal forms of elliptic surfaces. Preprint
Kodaira, K.: On compact complex analytic surfaces. I, II, and III. Ann. Math.71, 111–152 (1960)77, 563–626 (1963);78, 1–40 (1963)
Meyer, W.: Die Signatur von Flächenbündeln. Math. Ann.201, 239–264 (1973)
Sasai, T.: Monodromy representations and homology of certain elliptic surfaces. J. Math. Soc. Japan26, 296–305 (1974)
Schmickler-Hirzebruch, U.: Elliptische Flächen überP 1(ℂ) mit drei, Ausnahmefasern und die hypergeometrische Differentialgleichung. Diplomarbeit, Bonn, 1978
Shimura, G.: Sur les intégrales attachées aux formes automorphes. J. Math. Soc. Japan11, 291–311 (1959)
Shimura, G.: Introduction to the theory of automorphic forms. Princeton: Princeton University Press 1971
Shioda, T.: On elliptic modular surfaces. J. Math. Soc. Japan24, 20–59 (1972)
Stiller, P.: Differential equations associated with elliptic surfaces. J. Math. Soc. Japan32, 203–233 (1981)
Stiller, P.: Monodromy and invariants of elliptic surfaces. Pac. J. Math.92, 433–452 (1981)
Stiller, P.: A note on automorphic forms of weight one and weight three. Preprint
Stiller, P.: A generalized Shimura isomorphism. Preprint
Stiller, P.: Automorphic forms attached to differential equations and the Picard number of an elliptic surface. Braunschweig, Wiesbaden: Vieweg 1984
Eichler, M.: Eine Verallgemeinerung der Abelschen Integrale. Math. Z.67, 267–298 (1957)
Zucker, S.: Hodge theory with degenerating coefficients:L 2 cohomology in the Poincare metric. Ann. Math.109, 415–476 (1979)
Stiller, P.: The Picard numbers of some elliptic surfaces. I.H.E.S. Publ. Math. Preprint
Atiyah, M., Singer, I.M.: The index of elliptic operators. III. Ann. Math.87, 546–604 (1969)
Hirzebruch, F.: Topological methods in algebraic geometry. Berlin, Heidelberg, New York: Springer 1966
Griffiths, P., Harris, J.: Principles of algebraic geometry. New York: Wiley 1978
Chern, S.S., Hirzebruch, F., Serre, J.P.: On the index of a fibred manifold. Proc. Am. Math. Soc.8, 587–596 (1957)
Meyer, W.: Die Signatur von lokalen Koeffizientensystemen und Faserbündeln. Bonn. Math. Schr.53 (1972)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hunt, B., Meyer, W. Mixed automorphic forms and invariants of elliptic surfaces. Math. Ann. 271, 53–80 (1985). https://doi.org/10.1007/BF01455795
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01455795