A C ∞ logarithmic Dolbeault complex

José Ignacio Burgos

Compositio Mathematica (1994)

  • Volume: 92, Issue: 1, page 61-86
  • ISSN: 0010-437X

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Burgos, José Ignacio. "A $C^\infty $ logarithmic Dolbeault complex." Compositio Mathematica 92.1 (1994): 61-86. <http://eudml.org/doc/90299>.

@article{Burgos1994,
author = {Burgos, José Ignacio},
journal = {Compositio Mathematica},
keywords = {weight filtrations; divisor; Hodge filtrations; bifiltered resolution; sheaf of differentiable functions; Green functions},
language = {eng},
number = {1},
pages = {61-86},
publisher = {Kluwer Academic Publishers},
title = {A $C^\infty $ logarithmic Dolbeault complex},
url = {http://eudml.org/doc/90299},
volume = {92},
year = {1994},
}

TY - JOUR
AU - Burgos, José Ignacio
TI - A $C^\infty $ logarithmic Dolbeault complex
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 92
IS - 1
SP - 61
EP - 86
LA - eng
KW - weight filtrations; divisor; Hodge filtrations; bifiltered resolution; sheaf of differentiable functions; Green functions
UR - http://eudml.org/doc/90299
ER -

References

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  1. [D] Deligne, P., Théorie de Hodge II, Publ. Math. IHES40 (1972), 5-57;III, Publ. Math. IHES44 (1975), 5-77. Zbl0237.14003MR498551
  2. [D-G-M-S] Deligne, P., Griffiths, P., Morgan, J. and Sullivan, D., Real Homotopy Theory of Kähler Manifolds, Inventiones Math.29 (1975), 245-274. Zbl0312.55011MR382702
  3. [G-S] Gillet, H. and Soulé, C., Arithmetic Intersection Theory, Publ. Math. IHES72 (1990), 93-174. Zbl0741.14012MR1087394
  4. [G] Gross, B.H., Local Heights on Curves, in " Arithmetic Geometry", (Edited by G. Cornell and J. H. Silverman), Springer-Verlag, New York, 1986, pp. 327-339. Zbl0605.14027MR861983
  5. [H-P] Harris, M. and Phong, D.H., Cohomologie de Dolbeault à croissance logarithmique à l'infini, Comp. Rend. Acad. Sci. Paris302 (1986), 307-310. Zbl0597.32025MR838581
  6. [L] Lang, S., Introduction to Arakelov Theory, Springer-Verlag, Berlin, 1988. Zbl0667.14001MR969124
  7. [M] Malgrange, B., Ideals of Differentiable Functions, Oxford University Press, 1966. Zbl0177.17902MR212575
  8. [N] Navarro Aznar, V., Sur la théorie de Hodge-Deligne, Invent. Math.90 (1987), 11-76. Zbl0639.14002MR906579
  9. [T] Tougeron, J.C., Idéaux de fonctions differentibles, Springer-Verlag, Berlin, 1972. Zbl0251.58001MR440598

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