@article{ASENS_1986_4_19_4_583_0, author = {Peters, C.}, title = {Monodromy and {Picard-Fuchs} equations for families of $K3$-surfaces and elliptic curves}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {583--607}, publisher = {Elsevier}, volume = {Ser. 4, 19}, number = {4}, year = {1986}, doi = {10.24033/asens.1519}, mrnumber = {88e:14009}, zbl = {0612.14006}, language = {en}, url = {http://www.numdam.org/articles/10.24033/asens.1519/} }
TY - JOUR AU - Peters, C. TI - Monodromy and Picard-Fuchs equations for families of $K3$-surfaces and elliptic curves JO - Annales scientifiques de l'École Normale Supérieure PY - 1986 SP - 583 EP - 607 VL - 19 IS - 4 PB - Elsevier UR - http://www.numdam.org/articles/10.24033/asens.1519/ DO - 10.24033/asens.1519 LA - en ID - ASENS_1986_4_19_4_583_0 ER -
%0 Journal Article %A Peters, C. %T Monodromy and Picard-Fuchs equations for families of $K3$-surfaces and elliptic curves %J Annales scientifiques de l'École Normale Supérieure %D 1986 %P 583-607 %V 19 %N 4 %I Elsevier %U http://www.numdam.org/articles/10.24033/asens.1519/ %R 10.24033/asens.1519 %G en %F ASENS_1986_4_19_4_583_0
Peters, C. Monodromy and Picard-Fuchs equations for families of $K3$-surfaces and elliptic curves. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 19 (1986) no. 4, pp. 583-607. doi : 10.24033/asens.1519. http://www.numdam.org/articles/10.24033/asens.1519/
[B] Les familles stables de courbes elliptiques sur P2 admettant quatre fibres singulières (C. R. Acad. Sc., Paris, T. 294, 1982, p. 657). | MR | Zbl
,[Ba-P] Automorphisms of Enriques Surfaces (Invent. Math., Vol. 73, 1983, pp. 383-411). | MR | Zbl
and ,[B-B] Compactification of arithmetic quotients of bounded symmetric domains (Ann. Math., Vol. 84, 1966, pp. 422-528). | MR | Zbl
, and ,[B-P] A family of K3-surfaces and ζ (3) (Journal für d.r.u. angew. Math., Vol. 351, 1984, pp. 42-54). | MR | Zbl
and ,[B-P-V] Compact Complex Surfaces, Ergebnisse der Math. 3 Folge, Band 4, Springer-Verlag, 1984. | MR | Zbl
, and ,[D] Équations différentielles à points singuliers réguliers (Lect. Notes Math., 163, Springer-Verlag, 1970). | MR | Zbl
,[K-F] Vorlesungen über die Theorie der elliptischen Modulfunctionen, I, Teubner, Leipzig, 1890 ; II, Teubner, Leipzig, 1892. | JFM
and ,[M] Some remarks on the moduli of K3-surfaces. In : Classification of algebraic and analytic manifolds, Progress in Math., 39, Birkhöuser Verlag, 1983, pp. 303-332. | MR | Zbl
,[M2] On K3-surfaces with large Picard number (Invent. Math., Vol. 75, 1984, pp. 105-121). | MR | Zbl
,[N] Integral symmetric bilinear forms and some of their applications (Izv. Akad. Nauk S.S.S.R., Vol. 43, 1979, pp. 111-177 ; Math. U.S.S.R. Izvestija, Vol. 14, 1980, pp. 103-167). | Zbl
,[P] Geometry of classical domains and automorphic functions (Russian), Fizmatgiz, Moscow, 1961. French transl. Dunod, Paris, 1966.
,[P-S] Infinitesimal variations of Hodge structure and the generic Torelli problem for projective hypersurfaces, In : Classification of algebraic and analytic manifolds, Progress in Math., 39, Birkhöuser Verlag, 1983, pp. 399-463. | MR | Zbl
and ,[R] Topics in analytic number theory (Grundlehren Math. Wiss., 169, Springer-Verlag, 1973). | MR | Zbl
,[R-S] Über die wesentlichen Singularitöten analytischer Mengen (Math. Ann., Vol. 126, 1953, pp. 263-306). | MR | Zbl
and ,[S] Variation of Hodge structure : the singularities of the period mapping (Invent. Math., Vol. 22, 1973, pp. 211-319). | MR | Zbl
,[S1] On elliptic modular surfaces (J. Math. Soc. Japan, Vol. 24, 1972, pp. 20-59). | MR | Zbl
,[S2] The period map of abelian surfaces (J. Fac. Sc. Univ. Tokyo, Vol. 25, 1978, pp. 47-59). | MR | Zbl
,[S-B] On the Picard-Fuchs equation and the formal Brauer group of certain elliptic K3-surfaces (Math. Ann., Vol. 271, 1985). | MR | Zbl
and ,Cité par Sources :