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Variation of mixed Hodge structure. I

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References

  1. Cattani, E. Kaplan, A. Polarized mixed Hodge structure and the monodromy of a variation of Hodge structure. Invent. Math.67, 101–115 (1982)

    Google Scholar 

  2. Deligne, P.: Equations Différentielles à Points Singuliers Réguliers. Lect. Notes Math.163. Berlin-Heidelberg-New York: Springer 1970

    Google Scholar 

  3. Deligne, P. Theorie de Hodge, II. Publ. Math. IHES40, 5–57 (1971)

    Google Scholar 

  4. Deligne, P. Theorie de Hodge, III. Publ. Math. IHES44, 5–77 (1974)

    Google Scholar 

  5. Deligne, P.: La conjecture de Weil, II. Publ. Math. IHES52, 137–252 (1980)

    Google Scholar 

  6. El Zein, F.: Dégénérescence diagonale I, II. C.R. Acad. Sci., Paris296, 51–54, 199–202 (1983)

    Google Scholar 

  7. Katz, N. The regularity theorem in algebraic geometry. Actes, Congrès Intern. Math. Nice 1970,1, 437–443 (1970)

    Google Scholar 

  8. Rapoport, M., Zink, T.: Über die lokale Zetafunktion von Shimuravarietäten. Monodromie filtration und verschwindende Zyklen in ungleicher Charakteristik. Invent. Math.68, 21–101 (1982)

    Google Scholar 

  9. Schmid, W. Variation of Hodge structure: The singularities of the period mapping. Invent. Math.22, 211–319 (1973)

    Google Scholar 

  10. Steenbrink, J.: Limits of Hodge structures. Invent. Math.31, 229–257 (1976)

    Google Scholar 

  11. Zucker, S. Hodge theory with degenerating coefficients:L 2 cohomology in the Poincaré metric. Ann. Math.109, 415–476 (1979)

    Google Scholar 

  12. Zucker, S. Degeneration of Hodge bundles (after Steenbrink). In: Topics in Transcendental Algebraic Geometry. Ann. Math. Studies.106, 121–141 (1984)

    Google Scholar 

  13. Du Bois, Ph.: Structure de Hodge mixte sur la cohomologie évanescente. Ann. Inst. Fourier. To appear

  14. Clemens, C.H. Degeneration of Kähler manifolds. Duke Math. J.44, 215–290 (1977)

    Google Scholar 

  15. Clemens, C.H. The Néron model for families of intermediate Jacobians acquiring “algebraic” singularities. Publ. Math. IHES58, 5–18 (1983)

    Google Scholar 

  16. El Zein, F. Complexe de Hodge mixte filtré. C.R. Acad. Sci., Paris295, 669–672 (1982)

    Google Scholar 

  17. Griffiths, P. 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 

  18. Guillén, F., Navarro Aznar, V., Puerta, F.: Théorie de Hodge via schémas cubiques. Mimeographed notes, Barcelona (1982)

  19. Usui, S. Variation of mixed Hodge structures arising from family of logarithmic deformations. Ann. Sci. Ec. Norm. Super.16, 91–107 (1983)

    Google Scholar 

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Supported in part by the National Science Foundation, through grant MCS-8101650

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Steenbrink, J., Zucker, S. Variation of mixed Hodge structure. I. Invent Math 80, 489–542 (1985). https://doi.org/10.1007/BF01388729

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