This is a preview of subscription content, log in via an institution to check access.
References
Aspinwall, P.S., Green, B.R., Kirklin, K.H., Miron, P.J. Searching for three-generation Calabi-Yau Manifolds. Harvard University Theoretical Physics (Preprint)
Beauville, A.: Some remarks on Kähler manifolds withc 1=0. In: Ueno, K. (ed.) Classification of Algebraic and Analytic Manifolds. Progress in Math.39. Boston: Birkhäuser 1983
Beauville, A.: Varietés kählérienes dont la première classe de Chern est nulle. J Differ. Geom.18, 755–782 (1983)
Beauville, A.: Les familles stables de courbes elliptiques surP 1 admettant quatre fibres singulières. C.R. Acad. Sci. Paris294, 657–660 (1982)
Bogomolov, F.: On the decomposition of Kähler manifolds with trivial canonical class. Math. USSR Sbornik22, 580–583 (1974)
Barth, W., Peters, C., Van de Ven, A.: Compact Complex Surfaces. Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Band 4, Berlin Heidelberg New York: Springer 1984
Coombes, K., Harbarter, D.: Hurwitz Families and Arithmetic Galois Groups. Duke Math. J.52, 821–839 (1985)
Fulton, W.: Hurwitz schemes and irreducibility of moduli of algebraic curves. Ann. Math.90, 542–575 (1969)
Fulton, W.: Intersection Theory, Berlin Heidelberg New York: Springer 1984
Friedman, R.: Simultaneous resolution of threefold double points. Math. Ann.275 (1986)
Hartshorne, R.: Algebraic Geometry, Graduate Texts in Math.52, Berlin Heidelberg New York: Springer 1977
Hirzebruch, F.: Threefolds withc 1=0, in 26. mathematische Arbeitstagung, Preprint series, Max-Plank-Institut für Mathematik, Bonn (1986, no. 26)
Hübsch, T.: Calabi-Yau Manifolds-Motivations and Constructions. Commun. Math. Phys.108, 291–318 (1987)
Hirzebruch, F.: Some examples of threefolds with trivial canonical bundle. Notes by J. Werner, Preprint series, Max-Plank-Institut für Mathematik, Bonn (1985), no. 58)
Lejarraga, P.: Thesis Brandeis (1985)
Lang, W.: An analog of the logarithmic transform in characteristicp. In: Carell, J., Geramita, A.V., Russell, P. (eds.) Can. Math. Soc. Conf. Proc.6, 1986
Milnor, J.: Morse Theory. Ann. Math. Stud.51, Princeton University Press, Princeton (1963)
Miranda, H.P., Persson, U.: On extremal rational elliptic surfaces. Math. Z.193, 537–558 (1986)
Ogg, A.: Cohomology of abelian, varieties over function fields. Ann. Math.76, 185–212 (1962)
Safarevic, I.R.: Principal homogeneous spaces over a function field. Am. Math. Soc. Translations, series 2,37, 85–114 (1964)
Schoen, C.: On the geometry of a special determinantal hypersurface associated to the Mumford-Horrocks vector bundle. J. Reine Angew. Math.364, 85–111 (1986)
Schoen, C.: Complex multiplication cycles on elliptic modular threefolds. Duke Math. J.53 771–794 (1986)
Shioda, T.: On elliptic modular surfaces. J. Math. Soc. Jpn24, 20–59 (1972)
Strominger, A., Witten, E.: New manifolds for superstring compactification. Commun. Math. Phys.101, 341–361 (1986)
Ueno, K.: Classification Theory of Algebraic Varieties and Compact Complex Spaces (Lect. Notes Math., vol. 439) Berlin Heidelberg New York: Springer 1975
Werner, J.: Thesis, Universität Bonn (In preparation)
Yau, Shing-Tung: On the Ricci curvature of a compact Kaehler manifold and the complex Monge-Ampère equation, I. Comm. Pure Apl. Math.31, 339–411 (1978)
Yau, Shing-Tung: Compact three dimensional Kähler manifolds with zero Ricci curvature. With an appendix by S.-T. Yau and G. Tian. (Preprint)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Schoen, C. On fiber products of rational elliptic surfaces with section. Math Z 197, 177–199 (1988). https://doi.org/10.1007/BF01215188
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01215188