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Hyperrésolutions cubiques et applications à la théorie de hodge-deligne

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Hodge Theory

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Références

  1. A. Borel, J. Moore: Homology theory for locally compact spaces, Mich. J., 7 (1960), 137–159.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  3. P. Deligne: Théorie de Hodge II et III. Publ. Math. I.H.E.S. 40 (1971), 5–58 et 44 (1974), 5–77.

    Article  MathSciNet  MATH  Google Scholar 

  4. P. Deligne: La conjecture de Weil II. Publ. Math. I.H.E.S., 52 (1980), 137–152.

    Article  MathSciNet  MATH  Google Scholar 

  5. F. Elzein: Mixed Hodge structures. Trans. A.M.S., 275 (1983), 71–106.

    Article  MathSciNet  MATH  Google Scholar 

  6. Fujiki: Duality of mixed Hodge structures of algebraic varieties. Publ. RIMS, Kyoto Univ., 16 (1980), 635–667.

    Article  MathSciNet  MATH  Google Scholar 

  7. F. Guillén: Une relation entre la filtration par le poids de Deligne et la filtration de Zeeman. A paraitre en Comp. Math.

    Google Scholar 

  8. F. Guillén, V. Navarro Aznar, F. Puerta: Théorie de Hodge via schémas cubiques. Notes polycopiées. Univ. Politècnica de Catalunya, 1982.

    Google Scholar 

  9. F. Guillén, V.Navarro Aznar, P. Pascual Gainza, P. Puerta: Hyperrésolutions cubiques et applications aux théories cohomologiques des variétés algébriques. Prepubliucation. Univ. Politècnica de Catalunya, 1985.

    Google Scholar 

  10. C. McCrory: Zeeman's filtration of homology. Trans. S.M.S., 250 (1979), 147–166.

    MathSciNet  MATH  Google Scholar 

  11. C. McCrory: On the topology of Deligne's weight filtration. Proc. Symp. Pure Math., 40 (1983), 217–226.

    Article  MathSciNet  MATH  Google Scholar 

  12. V. Navarro: Sur la théorie de Hodge-Deligne. Prepublication (1986).

    Google Scholar 

  13. Schmid, W.: Variation of Hodge Structures: The Singularities of the Period Mapping, Invent. Math., 22 (1973), 211–320.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  15. J. Steenbrink, J. Stevens: Topological invariance of the weight filtration. Indagat. Math., 46 (1984), 63–76.

    Article  MathSciNet  MATH  Google Scholar 

  16. J.L. Verdier: Dualité dans la cohomologie des espaces localement compacts. Sem. Bourbaki, 18è. année 65/66, n. 300.

    Google Scholar 

  17. E.C. Zeeman: Dihomology III. A generalitation of the Poincaré duality for manifolds. Proc. London Math. Soc., 3 (13), (1963), 155–183.

    Article  MathSciNet  Google Scholar 

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Eduardo Cattani Aroldo Kaplan Francisco Guillén Fernando Puerta

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© 1987 Springer-Verlag

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Guillén, F., Puerta, F. (1987). Hyperrésolutions cubiques et applications à la théorie de hodge-deligne. In: Cattani, E., Kaplan, A., Guillén, F., Puerta, F. (eds) Hodge Theory. Lecture Notes in Mathematics, vol 1246. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077529

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  • DOI: https://doi.org/10.1007/BFb0077529

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  • Print ISBN: 978-3-540-17743-2

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