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Logarithmic embeddings of varieties with normal crossings and mixed Hodge structures

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References

  1. Deligne, P.: Théorie de Hodge II. Publ. Math. IHES40 (1971), 5–57.

    Google Scholar 

  2. Durfee, A.: Mixed Hodge structures on punctured neighborhoods. Duke Math. J.50 (1983), 1017–1040.

    Google Scholar 

  3. Elzein, F.: Mixed Hodge structures, Trans. Amer. Math. Soc.275 (1983), 71–106.

    Google Scholar 

  4. Friedman, R.: Global smoothings of varieties with normal crossings. Ann. of Math.118 (1983) 75–114.

    Google Scholar 

  5. Fujisawa, T.: private communication.

  6. Illusie, L.: Complexe cotangent et déformations I. Lecture Notes in Math. 239, Berlin, Heidelberg, New York: Springer Verlag 1971.

    Google Scholar 

  7. Illusie, L.: Logarithmic spaces (according to K. Kato). Séminaire Bourbaki 1992.

  8. Kato, K.: Logarithmic structures of Fontaine-Illusie, in Algebraic Analysis, Geometry and Number Theory, J.-I. Igusa ed., 1988, Johns Hopkins Univ., 191–224.

  9. Kawamata, Y. and Y. Namikawa: Logarithmic deformations of normal crossing varieties and smoothing of degenerate Calabi-Yau varieties. Preprint 1993, 24 p.

  10. Saito, M.: Modules de Hodge polarisables. Publ. RIMS Kyoto Univ.24 (1988), 849–995.

    Google Scholar 

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

    Google Scholar 

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Steenbrink, J.H.M. Logarithmic embeddings of varieties with normal crossings and mixed Hodge structures. Math. Ann. 301, 105–118 (1995). https://doi.org/10.1007/BF01446621

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