The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

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

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.