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Limits of Hodge structures

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References

  1. Brieskorn, E.: Die Monodromie der isolierten Singularitäten von Hyperflächen. Man. Math2, 103–161 (1970)

    Google Scholar 

  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)

    Google Scholar 

  3. Deligne, P.: Théorie de Hodge II. Publ. Math. IHES40, 5–57 (1972)

    Google Scholar 

  4. Delgne, P.: Théorie de Hodge III. Publ. Math. IHES44, 5–77 (1975)

    Google Scholar 

  5. Deligne, P.: Equations différentielles à points singuliers réguliers. Lecture Notes in Math.163. Berlin-Heidelberg-New York: Springer 1970)

    Google Scholar 

  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

    Google Scholar 

  7. Godement, R.: Topologie algébrique et théorie des faisceaux. Paris: Hermann 1958

    Google Scholar 

  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)

    Google Scholar 

  9. Hartshorne, R.: Residues and duality. Lecture Notes in Math. 20. Berlin-Heidelberg-New York: Springer 1966

    Google Scholar 

  10. Hodge, W. V. D.: Theory and applications of harmonic integrals. Cambridge: Cambridge University Press 1963

    Google Scholar 

  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)

    Google Scholar 

  12. Katz, N.: The regularity theorem in algebraic geometry. Actes congrès intern. math. (Nice)1, 437–443 (1970)

    Google Scholar 

  13. Katz, N.: Nilpotent connections and the monodromy theorem. Applications of a result of Turrittin. Publ. Math. IHES39, 175–232 (1971)

    Google Scholar 

  14. Mumford, D.: Abelian varieties. Oxford: Oxford University Press 1970

    Google Scholar 

  15. Schmid, W.: Variation of Hodge structure: The singularities of the period mapping. Inventiones math.22, 211–320 (1973)

    Google Scholar 

  16. Weil, A.: Introduction à l'étude des variétés Kählériennes. Paris: Hermann 1958

    Google Scholar 

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Supported by the Netherlands Organization for the Advancement of Pure Research (Z.W.O.)

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Steenbrink, J. Limits of Hodge structures. Invent Math 31, 229–257 (1976). https://doi.org/10.1007/BF01403146

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  • DOI: https://doi.org/10.1007/BF01403146

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