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Hodge Theory pp 143–153Cite as

Sur les structures de hodge mixtes associées aux cycles evanescents

Part of the Lecture Notes in Mathematics book series (LNM,volume 1246)

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  • Diver Invariant
  • Grand Successives
  • Infinitesimal Computation
  • Peut Supposer
  • Nous Renvoyons

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Bibliographie

  1. D. Barlet: Contribution du cup-produit de la fibre de Milnor aux pôles de |f|2, Ann. Inst. Fourier, Grenoble, 34, 4 (1984), 75–107.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. P. Deligne: Comparaison avec la théorie transcendente, Exp. XIV, dans SGA 7 II, Lecture Notes in Mathematics no 340, 1973.

    Google Scholar 

  4. P. Deligne: Théorie de Hodge II, Publ. Math. I.H.E.S., 40 (1972), 5–57.

    CrossRef  MATH  Google Scholar 

  5. P. Deligne: Théorie de Hodge III, Publ. Math. I.H.E.S., 44 (1975), 5–77.

    CrossRef  MATH  Google Scholar 

  6. P. Deligne: La conjecture de Weil, II, Publ. Math. I.H.E.S., 52 (1980), 137–252.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. A. Durfee-R. Hain: Mixed Hodge structures on the homotopy of links, prepublication.

    Google Scholar 

  8. A. Grothendieck: Classes de Chern et représentations lineaires des groupes discrets, dans Dix exposés sur la cohomologie des schémas, North-Holland, 1968.

    Google Scholar 

  9. F. Guillén: Une relation entre la filtration de Zeeman et la filtration par le poids de Deligne, prepublication, Universitat Politècnica de Catalunya, à paraitre dans Compositio Math.

    Google Scholar 

  10. F. Guillén-V. Navarro Aznar-F. Puerta: Théorie de Hodge via schémas cubiques, notes policopiées, Universitat Politècnica de Catalunya, 1982.

    Google Scholar 

  11. F. Guillén-F. Puerta: Hyperrésolutions cubiques et applications à la théorie de Hodge-Deligne, dans ce volume.

    Google Scholar 

  12. R. Hain: Mixed Hodge structures on homotopy groups, Bull. Amer. Math. Soc. (New Series), 14, 111–114 (1986).

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. N. Katz: Nilpotent connections and the monodromy theorem: applications of a result of Turritin, Publ. Math. IHES, 39, 175–232 (1971).

    CrossRef  Google Scholar 

  14. A. Landman: On the Picard-Lefschetz transformation for algebraic manifolds acquiring general singularities, Trans. Amer. Math. Soc., 181 (1973), 89–126.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. V. Navarro Aznar: Sur la théorie de Hodge-Deligne, prepublication, Universitat Politècnica de Catalunya.

    Google Scholar 

  16. W. Schmid: Variation of Hodge structure: The singularities of the period mapping, Invent. math., 22 (1973), 21–320.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. J.H. Steenbrink: Limits of Hodge structures, Invent. math., 31 (1976), 229–257.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. J.H.M. Steenbrink: Mixed Hodge structure on the vanishing cohomology, Real and Complex Singularities (Oslo, 1976), Noordhoff-Sijthoff, 1977.

    Google Scholar 

  19. J.H.M. Steenbrink: Mixed Hodge structures associated with isolated singularities, Proc. of Symp. in Pure Math., vol. 40 part 2, (1983), 513–536.

    CrossRef  MathSciNet  MATH  Google Scholar 

  20. J.H. Steenbrink — S. Zucker: Variation of mixed Hodge structure. I, Invent. math., 80 (1985), 489–542.

    CrossRef  MathSciNet  MATH  Google Scholar 

  21. D. Sullivan: Infinitesimal computations in topology, Publ. I.H.E.S., 47 (1977), 269–331.

    CrossRef  MathSciNet  MATH  Google Scholar 

  22. R. Swan: Thom's theory of differential forms on simplicial sets, Topology, vol 44 (1975), 271–273.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1987 Springer-Verlag

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Aznar, V.N. (1987). Sur les structures de hodge mixtes associées aux cycles evanescents. 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/BFb0077536

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  • DOI: https://doi.org/10.1007/BFb0077536

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