Sur l'image de l'application d'Abel-Jacobi de Bloch

Noriyuki Suwa

Bulletin de la Société Mathématique de France (1988)

  • Volume: 116, Issue: 1, page 69-101
  • ISSN: 0037-9484

How to cite

top

Suwa, Noriyuki. "Sur l'image de l'application d'Abel-Jacobi de Bloch." Bulletin de la Société Mathématique de France 116.1 (1988): 69-101. <http://eudml.org/doc/87549>.

@article{Suwa1988,
author = {Suwa, Noriyuki},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Bloch's Abel-Jacobi homomorphism; slopes of cohomology; Dieudonné module},
language = {fre},
number = {1},
pages = {69-101},
publisher = {Société mathématique de France},
title = {Sur l'image de l'application d'Abel-Jacobi de Bloch},
url = {http://eudml.org/doc/87549},
volume = {116},
year = {1988},
}

TY - JOUR
AU - Suwa, Noriyuki
TI - Sur l'image de l'application d'Abel-Jacobi de Bloch
JO - Bulletin de la Société Mathématique de France
PY - 1988
PB - Société mathématique de France
VL - 116
IS - 1
SP - 69
EP - 101
LA - fre
KW - Bloch's Abel-Jacobi homomorphism; slopes of cohomology; Dieudonné module
UR - http://eudml.org/doc/87549
ER -

References

top
  1. [1] BEAUVILLE (A.). — Variétés de Prym et jacobiennes intermédiaires, Ann. Sci. École Norm. Sup., t. 10, 1977, p. 304-392. Zbl0368.14018MR57 #12532
  2. [2] BLOCH (S.). — Torsion algebraic cycles and a theorem of Roitman, Math. Comp., t. 39, 1979, p. 107-127. Zbl0463.14002MR80k:14012
  3. [3] BLOCH (S.). — Lectures on algebraic cycles. — Duke Univ. Math. Ser., 1980. Zbl0436.14003MR82e:14012
  4. [4] BLOCH (S.) and KATO (K.). — P-adic étale cohomology, Inst. Hautes Études Sci. Publ. Math., t. 63, 1986, p. 107-152. Zbl0613.14017MR87k:14018
  5. [5] BLOCH (S.) and MURRE (J.-P.). — On the Chow group of certain types of Fano threefolds, Math. Comp., t. 39, 1979, p. 47-105. Zbl0426.14018MR80m:14025
  6. [6] BLOCH (S.) and OGUS (A.). — Gersten's conjecture and the homology of schemes, Ann. Sci. École Norm. Sup., t. 7, 1974, p. 181-202. Zbl0307.14008MR54 #318
  7. [7] CLEMENS (C.H.) and GRIFFITHS (P.A.). — The intermediate Jacobian of the cubic threefold, Ann. of Math., t. 95, 1972, p. 281-356. Zbl0214.48302MR46 #1796
  8. [8] CREW (R.). — Some properties of convergent F-isocrystals, Duke Math. J., t. 53, 1986, p. 749-757. MR88a:14021
  9. [9] COLLIOT-THÉLÈNE (J.-L.), SANSUC (J.-L.) et SOULÉ (C.). — Torsion dans le groupe de Chow de codimension deux, Duke Math. J., t. 50, 1983, p. 763-801. Zbl0574.14004MR85d:14010
  10. [10] DELIGNE (P.). — Le théorème de Noether [SGA 7, exp. XIX, 1973], p. 328-340. (Lecture Notes in Math., 340). Zbl0269.14019MR50 #7135
  11. [11] DELIGNE (P.). — Théorie de Hodge III, Inst. Hautes Études Sci. Publ. Math., t. 44, 1974, p. 4-77. Zbl0237.14003MR58 #16653b
  12. [12] DELIGNE (P.). — La conjecture de Weil II, Inst. Hautes Études Sci. Publ. Math., t. 52, 1980, p. 137-252. Zbl0456.14014MR83c:14017
  13. [13] EKEDAHL (T.). — Sur le groupe fondamental d'une variété unirationnelle, C. R. Acad. Sci. Paris, t. 297, 1983, p. 627-629. Zbl0591.14010MR85f:14010
  14. [14] FULTON (W.). — Intersection theory. — Springer, Berlin-Heidelberg-New York-Tokyo, 1984. Zbl0541.14005MR85k:14004
  15. [15] GRIFFITHS (P.A.). — On the period of certain rational integrals, Ann. of Math., t. 90, 1969, p. 460-540. Zbl0215.08103MR41 #5357
  16. [16] GROTHENDIECK (A.). — Le groupe de Brauer III. — Dix exposés sur la cohomologie des schémas, North Holland, Amsterdam, 1969. 
  17. [17] ILLUSIE (L.) et RAYNAUD (M.). — Les suites spectrales associées au complexe de de Rham-Witt, Inst. Hautes Études Sci. Publ. Math., t. 57, 1983, p. 73-212. Zbl0538.14012MR85e:14026
  18. [18] KATZ (N.). — Etude cohomologique des pinceaux de Lefschetz [SGA 7, exp. XVIII, 1973], p. 254-327. — (Lecture Notes in Math., 340). Zbl0284.14007MR50 #7135
  19. [19] KATZ (N.). — Le théorème de Griffiths [SGA 7, exp. XX, 1973], p. 341-362. (Lecture Notes in Math., 340). Zbl0271.14002MR50 #7135
  20. [20] KATZ (N.) and MESSING (W.). — Some consequences of the Riemann hypothesis for varieties over finite fields, Invent. Math., t. 23, 1974, p. 73-77. Zbl0275.14011MR48 #11117
  21. [21] LECOMTE (F.). — Rigidité des groupes de Chow, Duke Math. J., t. 53, 1986, p. 405-426. Zbl0632.14007MR88c:14013
  22. [22] MAZUR (B.). — Frobenius and the Hodge filtration, Bull. Amer. Math. Soc., t. 78, 1972, p. 653-667. Zbl0258.14006MR48 #8507
  23. [23] MERCURJEV (A.S.) and SUSLIN (A.A.). — K-cohomology of Severi-Brauer varieties and norme residue homomorphisms, Izv. Akad. Nauk SSSR Ser. Mat., t. 46, 1982, p. 1011-1046. Zbl0525.18008
  24. [24] MURRE (J.-P.). — Algebraic equivalence modulo rational equivalence on a cubic threefold, Math. Comp, t. 25, 1972, p. 161-206. Zbl0242.14002MR50 #4576a
  25. [25] MURRE (J.-P.). — Un résultat en théorie des cycles algébriques de codimension deux, C.R. Acad. Sci. Paris, t. 296, 1983, p. 981-984. Zbl0532.14002MR86c:14004
  26. [26] MURRE (J.-P.). — Abel-Jacobi equivalence versus incidence equivalence for algebraic cycles of codimension two, Topology, t. 24, 1985, p. 361-367. Zbl0585.14009MR87a:14007
  27. [27] QUILLEN (D.). — Higher algebraic K-theory I, Lecture Notes in Math., t. 341, 1973, p. 85-147. Zbl0292.18004MR49 #2895
  28. [28] RAPOPORT (M.). — Complément à l'article de P. Deligne “La conjecture de Weil pour les surfaces K3”, Invent. Math., t. 15, 1972, p. 227-236. Zbl0228.14014MR46 #9046
  29. [29] ROJTMAN (A.A.). — The torsion of the group 0-cycles modulo rational equivalence, Ann. of Math., t. 111, 1980, p. 553-569. Zbl0504.14006MR81g:14003
  30. [30] SAITO (H.). — Abelian varieties attached to cycles of intermediate dimension, Nagoya Math. J., t. 75, 1979, p. 95-119. Zbl0433.14036MR81a:14021
  31. [31] SHIODA (T.). — Algebraic cycles on certain K3 surfaces in characteristic p, Proc. of the Internat. Conf. on Manifolds and Related Topics in Topology [Tokyo. 1973], p. 357-364. — BAILY-JR (W.), SHIODA (T.). Zbl0311.14007
  32. [32] SHIODA (T.). — A note on a theorem of Griffiths on the Abel-Jacobi map, Invent. Math., t. 82, 1985, p. 461-465. Zbl0597.14007MR87i:14006
  33. [33] SHIODA (T.). — Algebraic cycles in hypersurfaces in Pn, Proc. of Sendai Symposium in Algebraic Geometry, Kinokuniya-North Holland (Advanced Studies in Pure Math.), t. 10, 1987, p. 717-732. Zbl0649.14002MR89d:14009
  34. [34] SHIODA (T.) and KATSURA (T.). — On Fermat varieties, Tôhoku Math. J., t. 31, 1979, p. 97-115. Zbl0415.14022MR80g:14033
  35. [35] TERASOMA (T.). — Complete intersections with middle Picard number 1 defined over Q, Math. Z., t. 189, 1985, p. 289-296. Zbl0579.14006MR86f:14010

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.