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Limits of Hodge structures. (English) Zbl 0303.14002


MSC:

14D15 Formal methods and deformations in algebraic geometry
14F10 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
14C30 Transcendental methods, Hodge theory (algebro-geometric aspects)

References:

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[2] Clemens jr., C. H.: Picard-Lefschetz theorem for families of nonsingular algebraic varieties acquiring ordinary singularities. Trans. A.M.S.136, 93-108 (1969) · Zbl 0185.51302 · doi:10.1090/S0002-9947-1969-0233814-9
[3] Deligne, P.: Théorie de Hodge II. Publ. Math. IHES40, 5-57 (1972) · Zbl 0219.14007
[4] Delgne, P.: Théorie de Hodge III. Publ. Math. IHES44, 5-77 (1975)
[5] Deligne, P.: Equations différentielles à points singuliers réguliers. Lecture Notes in Math.163. Berlin-Heidelberg-New York: Springer 1970) · Zbl 0244.14004
[6] Deligne, P., Katz, N. M.: Groupes de monodromie en géométrie algébrique, (SGA 7 II). Lecture Notes in Math.340. Berlin-Heidelberg-New York: Springer 1973
[7] Godement, R.: Topologie algébrique et théorie des faisceaux. Paris: Hermann 1958 · Zbl 0080.16201
[8] Griffiths, Ph.: Periods of integrals on algebraic manifolds. Summary of main results and discussion of open problems. Bull. A.M.S.76, 228-296 (1970) · Zbl 0214.19802 · doi:10.1090/S0002-9904-1970-12444-2
[9] Hartshorne, R.: Residues and duality. Lecture Notes in Math. 20. Berlin-Heidelberg-New York: Springer 1966 · Zbl 0212.26101
[10] Hodge, W. V. D.: Theory and applications of harmonic integrals. Cambridge: Cambridge University Press 1963 · Zbl 0129.18203
[11] Katz, N., Oda, T.: On the differentiation of De Rham cohomology classes with respect to parameters. J. Math. Univ. Kyoto 8 (II), 199-213 (1968) · Zbl 0165.54802
[12] Katz, N.: The regularity theorem in algebraic geometry. Actes congrès intern. math. (Nice)1, 437-443 (1970)
[13] Katz, N.: Nilpotent connections and the monodromy theorem. Applications of a result of Turrittin. Publ. Math. IHES39, 175-232 (1971) · Zbl 0221.14007
[14] Mumford, D.: Abelian varieties. Oxford: Oxford University Press 1970 · Zbl 0223.14022
[15] Schmid, W.: Variation of Hodge structure: The singularities of the period mapping. Inventiones math.22, 211-320 (1973) · Zbl 0278.14003 · doi:10.1007/BF01389674
[16] Weil, A.: Introduction à l’étude des variétés Kählériennes. Paris: Hermann 1958
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