Sur la connexion de Gauss-Manin en homotopie rationnelle

V. Navarro Aznar

Annales scientifiques de l'École Normale Supérieure (1993)

  • Volume: 26, Issue: 1, page 99-148
  • ISSN: 0012-9593

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Navarro Aznar, V.. "Sur la connexion de Gauss-Manin en homotopie rationnelle." Annales scientifiques de l'École Normale Supérieure 26.1 (1993): 99-148. <http://eudml.org/doc/82337>.

@article{NavarroAznar1993,
author = {Navarro Aznar, V.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {analytic morphism; Gauss-Manin connection; rational homotopy; cohomology},
language = {fre},
number = {1},
pages = {99-148},
publisher = {Elsevier},
title = {Sur la connexion de Gauss-Manin en homotopie rationnelle},
url = {http://eudml.org/doc/82337},
volume = {26},
year = {1993},
}

TY - JOUR
AU - Navarro Aznar, V.
TI - Sur la connexion de Gauss-Manin en homotopie rationnelle
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1993
PB - Elsevier
VL - 26
IS - 1
SP - 99
EP - 148
LA - fre
KW - analytic morphism; Gauss-Manin connection; rational homotopy; cohomology
UR - http://eudml.org/doc/82337
ER -

References

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  1. [1] R. BOTT, Lectures on Characteristic Classes and Foliations, in Lectures on Algebraic and Differential Topology (Lect. Notes in Math., vol. 279, Springer-Verlag, 1972). Zbl0241.57010MR50 #14777
  2. [2] A. BOUSFIELD et V. K. A. M. GUGENHEIM, On PL De Rham Theory and Rational Homotopy Type (Mem. A.M.S., vol. 179, 1976). Zbl0338.55008MR54 #13906
  3. [3] J. CARLSON, H. CLEMENS et J. MORGAN, On the Mixed Hodge Structure Associated to π3 of a Simply Connected Complex Projective Manifold (Ann. Scient. Éc. Norm. Sup., vol. 14, 1981, p. 323-338). Zbl0511.14005MR83g:14002
  4. [4] P. DELIGNE, Equations différentielles à points singuliers réguliers, (Lect. Notes in Math., 163, Springer-Verlag, 1970). Zbl0244.14004MR54 #5232
  5. [5] P. DELIGNE, Lettre à Wojtkowiak, 25 oct. 1983. 
  6. [6] R. GODEMENT, Topologie algébrique et théorie des faisceaux, Hermann, 1958. Zbl0080.16201MR21 #1583
  7. [7] P. GRIFFITHS, Periods of Integrals on Algebraic Manifolds : Summary of Main Results and Discussion of Open Problems (Bull. Amer. Math. Soc., vol. 76, 1970, p. 228-296). Zbl0214.19802MR41 #3470
  8. [8] P. GRIFFITHS et J. MORGAN, Rational Homotopy Theory and Differential Forms (Progress in Math., 16, Birkhaüser, 1981). Zbl0474.55001MR82m:55014
  9. [9] A. GROTHENDIECK, On the De Rham Cohomology of Algebraic Varieties (Publ. Math. I.H.E.S., vol. 29, 1966, p. 96-103). Zbl0145.17602MR33 #7343
  10. [10] A. GROTHENDIECK et J. DIEUDONNÉ, Éléments de géométrie algébrique, III, Première Partie (Publ. Math. I.H.E.S., vol. 11, 1961). 
  11. [11] F. GUILLÉN, V. NAVARRO AZNAR, P. PASCUAL et F. PUERTA, Hyperrésolutions cubiques et descente cohomologique (Lect. Notes in Math., vol. 1335, Springer-Verlag, 1988). Zbl0638.00011MR90a:14024
  12. [12] S. HALPERIN, Lectures on Minimal Models, (Memoire Soc. Math. de France, n° 9/10, 1983). Zbl0536.55003MR85i:55009
  13. [13] N. KATZ, Nilpotent Connections and the Monodromy Theorem. Applications of a Result of Turritin (Publ. Math. I.H.E.S., vol. 39, 1971, p. 175-232). Zbl0221.14007
  14. [14] N. KATZ et T. ODA, On the Differentiation of De Rham Cohomology Classes with Respect to Parameters (J. Math. Kyoto Univ., vol. 8, 1968, p. 199-213). Zbl0165.54802MR38 #5792
  15. [15] J. MORGAN, The Algebraic Topology of Smooth Algebraic Varieties (Publ. Math. I.H.E.S., vol. 48, 1978, p. 137-204). Zbl0401.14003MR80e:55020
  16. [16] V. NAVARRO AZNAR, Sur la théorie de Hodge-Deligne (Invent. Math., vol. 90, 1987, p. 11-76). Zbl0639.14002MR88j:32037
  17. [17] F. PHAM, Singularités des systèmes différentiels de Gauss-Manin (Progress in Math., 2, Birkhaüser, 1979). Zbl0524.32015MR81h:32015
  18. [18] A. ROIG, Thèse, en préparation. 
  19. [19] D. QUILLEN, Rational Homotopy Theory (Ann. of Math., vol. 90, 1969, p. 205-295. Zbl0191.53702MR41 #2678
  20. [20] D. SULLIVAN, Infinitesimal Computations in Topology (Publ. Math. I.H.E.S., vol. 47, 1977, p. 269-331). Zbl0374.57002MR58 #31119

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