Filtrations on algebraic cycles and homology

Eric M. Friedlander

Annales scientifiques de l'École Normale Supérieure (1995)

  • Volume: 28, Issue: 3, page 317-343
  • ISSN: 0012-9593

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Friedlander, Eric M.. "Filtrations on algebraic cycles and homology." Annales scientifiques de l'École Normale Supérieure 28.3 (1995): 317-343. <http://eudml.org/doc/82385>.

@article{Friedlander1995,
author = {Friedlander, Eric M.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Lawson homology; algebraic equivalence classes of algebraic cycles; singular integral homology; graph mapping; -map},
language = {eng},
number = {3},
pages = {317-343},
publisher = {Elsevier},
title = {Filtrations on algebraic cycles and homology},
url = {http://eudml.org/doc/82385},
volume = {28},
year = {1995},
}

TY - JOUR
AU - Friedlander, Eric M.
TI - Filtrations on algebraic cycles and homology
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1995
PB - Elsevier
VL - 28
IS - 3
SP - 317
EP - 343
LA - eng
KW - Lawson homology; algebraic equivalence classes of algebraic cycles; singular integral homology; graph mapping; -map
UR - http://eudml.org/doc/82385
ER -

References

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  1. [Andreotti-Frankel] A. ANDREOTTI and T. FRANKEL, The Lefschetz theorem on hyperplane sections (Ann. of Math. (2), Vol. 59, 1959, pp. 713-717). Zbl0115.38405MR31 #1685
  2. [Bloch-Ogus] S. BLOCH and A. OGUS, Gersten's conjecture and the homology of schemes (Ann. Scient. Ec. Norm. Sup., 4e série, t. 7, 1974, pp. 181-202). Zbl0307.14008MR54 #318
  3. [F] E. FRIEDLANDER, Algebraic cycles, Chow varieties, and Lawson homology (Compositio Mathematica, Vol. 77, 1991, pp. 55-93). Zbl0754.14011MR92a:14005
  4. [F-Gabber] E. FRIEDLANDER and O. GABBER, Cycle spaces and intersection theory (in Topological Methods in Modern Mathematics, 1993, pp. 325-370). Zbl0830.14008MR94j:14010
  5. [F-Lawson] E. FRIEDLANDER and H. B. LAWSON, A theory of algebraic cocycles (Annals of Math., Vol. 136, 1992, pp. 361-428). Zbl0788.14014MR93g:14013
  6. [F-Mazur] E. FRIEDLANDER and B. MAZUR, Filtrations on the homology of algebraic varieties (Memoir of the A.M.S., Vol. 110, no. 529, 1994). Zbl0841.14019MR95a:14023
  7. [F-Mazur2] E. FRIEDLANDER and B. MAZUR, Correspondence homomorphisms for singular varieties (to appear in Ann. Inst. Fourier). Zbl0811.14007
  8. [Fulton] W. FULTON, Intersection Theory (Ergebnisse der Math, Springer-Verlag, 1984). Zbl0541.14005MR85k:14004
  9. [Grothendieck] A. GROTHENDIECK, Standard Conjectures on algebraic cycles (in Algebraic Geometry, Bombay Colloquium, Oxford, 1969, pp. 193-199). Zbl0201.23301MR42 #3088
  10. [Hain] R. HAIN, Letter to Barry Mazur dated 11/4/90. 
  11. [Kleiman] S. KLEIMAN, Algebraic cycles and the Weil Conjectures (in Dix Exposés sur la cohomologie des schémas, North Holland, 1968, pp. 359-386). Zbl0198.25902MR45 #1920
  12. [Lawson] H. B. LAWSON, Algebraic cycles and homotopy theory (Annals of Math., Vol. 129, 1989, pp. 253-291). Zbl0688.14006MR90h:14008
  13. [Lieberman] D. LIEBERMAN, Numerical and homological equivalence of algebraic cycles on Hodge manifolds (Amer. J. Math., Vol. 90, 1968, pp. 366-374). Zbl0159.50501MR37 #5898
  14. [Lima-Filho] P. LIMA-FILHO, Lawson homology for quasi-projective varieties (Compositio Math., Vol. 84, 1992, pp. 1-23). Zbl0773.14010MR93j:14007
  15. [Mumford] Families of abelian varieties (in Algebraic Groups and Discontinuous Subgroups, Proc. Sympos. Pure. Math., Boulder, Col., 1965, pp. 347-351). Zbl0199.24601
  16. [Nori] Algebraic cycles and Hodge theoretic connectivity (Inventiones Math., Vol. 111, 1993, pp. 349-373). Zbl0822.14008MR94b:14007
  17. [Roberts] J. ROBERTS, Chow's moving lemma (in Algebraic Geometry, Oslo, 1970, F. Oort ed., Wolters-Noordhoff Publ., Groningen, 1972, pp. 89-96). MR52 #3154

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