Un critère d’extension des foncteurs définis sur les schémas lisses

 Access to full text

 Full (PDF)

1. [AH] J. M. AROCA, H. HIRONAKA and J. L. VICENTE, Desingularization theorems, Memo. Mat. del Inst. Jorge Juan de Mat., 30 (1977), Madrid. Zbl0366.32009MR480502
2. [B] A. A. BEILINSON, Higher regulators and values of L-functions, J. Sov. Math., 30 (1985), 2036-2070. Zbl0588.14013MR760999
3. [BG] A. K. BOUSFIELD and V. K. A. M. GUGENHEIM, On PL de Rham theory and rational homotopy type, Memoirs Amer. Math. Soc., 179 (1976). Zbl0338.55008MR425956
4. [BM] E. BIERSTONE and P. MILLMAN, Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant, Invent. math., 128 (1997), 207-302. Zbl0896.14006MR1440306
5. [D1] P. DELIGNE, Théorie de Hodge II, Publ. Math. I.H.E.S., 40 (1972), 5-57; III, Publ. Math. I.H.E.S., 44 (1975), 2-77. Zbl0219.14007MR498551
6. [D2] P. DELIGNE, Le groupe fondamental de la droite moins trois points, in Galois Groups over Q, pp. 79-297, Y. Ihara, K. Ribet and J.-P. Serre, eds., Springer, New York 1989. Zbl0742.14022MR1012168
7. [D3] P. DELIGNE, Cohomologie à supports propres. SGA 4. Théorie des Topos et Cohomologie Etale des Schémas, Tome 3, Exp. XVII., Lect. Notes in Math., 305, Springer, Berlin 1973. Zbl0255.14011MR354654
8. [DM] P. DELIGNE, J. S. MILNE, A. OGUS and K. SHIH, Hodge Cycles, Motives, and Shimura Varieties, Lect. Notes in Math., 900, Springer, Berlin 1982. Zbl0465.00010MR654325
9. [dB] S. DEL BAÑO ROLLIN, On the Chow motive of some moduli spaces, J. reine angew. Math., 532 (2001), 105-132. Zbl1044.14005MR1817504
10. [dBN] S. DEL BAÑO ROLLIN and V. NAVARRO AZNAR, On the motive of a quotient variety, Collect. Math., 49 (1998), 203-226. Zbl0929.14033MR1677089
11. [DL] J. DENEF and F. LOESER, Motivic Igusa zeta functions, J. Algebraic Geom., 7 (1998), 505-537. Zbl0943.14010MR1618144
12. [DB] Ph. DU BOIS, Complexe de De Rham filtré d’une variété singulière, Bull. Soc. Math. France, 109 (1981), 41-81. Zbl0465.14009
13. [Du] J. DUPONT, Curvature and Characteristic Classes, Lect. Notes in Math., 640, Springer, Berlin 1978. Zbl0373.57009MR500997
14. [F] W. FULTON, Intersection Theory, Springer, Berlin 1984. Zbl0541.14005MR732620
15. [FM] W. FULTON and R. MACPHERSON, Categorical framework for the study of singular spaces, Memoirs Amer. Math. Soc., 243 (1981). Zbl0467.55005MR609831
16. [GZ] P. GABRIEL and M. ZISMAN, Calculus of Fractions and Homotopy Theory, Springer, Berlin 1967. Zbl0186.56802MR210125
17. [Gi] H. GILLET, Riemann-Roch theorems in higher K-theory, Adv. Math., 40 (1981), 203-289. Zbl0478.14010MR624666
18. [GS] H. GILLET and C. SOULÉ, Descent, Motives and K-Theory, J. reine angew. Math., 478 (1996), 127-176. Zbl0863.19002MR1409056
19. [GM] P. A. GRIFFITHS and J. W. MORGAN, Rational Homotopy Theory and Differential Forms, Progress in Math., 16 (1981), Birkhaüser, Boston. Zbl0474.55001MR641551
20. [Gr] M. GROSS, Classes de Chern et classes de cycles en cohomologie de Hodge-Witt logarithmique, Bull. Soc. Math. France. Mémoire (nouv. série), 21 (1985). Zbl0615.14011MR844488
21. [G] A. GROTHENDIECK, On the de Rham cohomology of algebraic varieties, Publ. Math. I.H.E.S., 29 (1966), 95- 103. Zbl0145.17602MR199194
22. [SGA1] A. GROTHENDIECK, Revêtements Etales et Groupe Fondamental, Séminaire de Géométrie Algébrique du Bois Marie 1960/61 SGA 1, Lect. Notes in Math., 224, Springer, Berlin 1971. Zbl0234.14002MR354651
23. [Gu] F. GUILLÉN, Une relation entre la filtration par le poids de Deligne et la filtration de Zeeman, Comp. Math., 61 (1987), 201-227. Zbl0617.14011MR882975
24. [GN] F. GUILLÉN and V. NAVARRO AZNAR, Sur le théorème local des cycles invariants, Duke Math. J., 61 (1990), 133-155. Zbl0722.14002MR1068383
25. [HC] F. GUILLÉN, V. NAVARRO AZNAR, P. PASCUAL and F. PUERTA, Hyperrésolutions cubiques et descente cohomologique, Lect. Notes in Math., 1335, Springer, Berlin 1988. Zbl0638.00011MR972983
26. [Han] M. HANAMURA, Homological and cohomological motives of algebraic varieties, Invent. math., 142 (2000), 319-349. Zbl1041.14502MR1794065
27. [Ha1] R. HARTSHORNE, Ample Subvarieties of Algebraic Varieties, Lect. Notes in Math., 156, Springer, Berlin 1970. Zbl0208.48901MR282977
28. [Ha2] R. HARTSHORNE, On the De Rham Cohomology of Algebraic Varieties, Publ. Math. I.H.E.S., 45 (1976), 5-99. Zbl0326.14004MR432647
29. [Hi1] H. HIRONAKA, Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. Math., 79 (1964), 109-326. Zbl0122.38603MR199184
30. [Hi2] H. HIRONAKA, Flattening Theorem in the Complex Analytic Geometry, Amer. J. Math., 97 (1975), 503-547. Zbl0307.32011MR393556
31. [KS] G. M. KELLY and R. STREET, Review of the elements of 2-categories, Lect. Notes in Math., 420, pp. 75-103, Springer, Berlin 1974. Zbl0334.18016MR357542
32. [La] G. LAUMON, Comparaison de caractéristiques d’Euler-Poincaré en cohomologie l-adique, C. R. Acad. Sc. Paris, 292, Série I (1981), 209-212. Zbl0468.14005
33. [Le] M. LEVINE, Mixed Motives, Math. Surveys Monographs, 57 (1998), A.M.S., Providence, RI. Zbl0902.14003MR1623774
34. [M] JU. I. MANIN, Correspondences, motifs and monoidal transformations, Math. USSR Sbornik, 6 (1968), 439-470. Zbl0199.24803MR258836
35. [ML] S. MACLANE, Categories for the Working Mathematician, Second ed., Springer, Berlin 1998. Zbl0705.18001MR1712872
36. [N] V. NAVARRO AZNAR, Sur la théorie de Hodge-Deligne, Invent. math., 90 (1987), 11-76. Zbl0639.14002MR906579
37. [Q ] D. QUILLEN, Homotopical Algebra, Lect. Notes in Math., 43, Springer, Berlin 1967. Zbl0168.20903MR223432
38. [Sc] A. J. SCHOLL, Classical Motives, in Motives, U. Jannsen, S. Kleiman and J.-P. Serre, eds.; Proc. Symp. Pure Math., 55 (1994), 163-187. Zbl0814.14001MR1265529
39. [Se] J.-P. SERRE, Motives, Journées Arithmétiques de Luminy, 1989. Astérisque, 198-199-200 (1991), 333-350. MR1144336
40. [Su] D. SULLIVAN, Infinitesimal Computations in Topology, Publ. Math. I.H.E.S., 47 (1978), 269-331. Zbl0374.57002MR646078
41. [Ve] J. L. VERDIER, Des catégories dérivées aux catégories abéliennes, Astérisque, 139 (1996). MR1453167
42. [Vi] O. VILLAMAYOR, Constructiveness of Hironaka’s resolution, Ann. Sci. Ec. Nor. Sup., 22 (1989), 1-32. Zbl0675.14003

1. Llorenç Rubió I Pons, Fibrant presheaves of spectra and Guillén-Navarro extension
2. Franziska Heinloth, A note on functional equations for zeta functions with values in Chow motives