Algebraic cycles, Chow varieties, and Lawson homology

Eric M. Friedlander

Compositio Mathematica (1991)

  • Volume: 77, Issue: 1, page 55-93
  • ISSN: 0010-437X

How to cite

top

Friedlander, Eric M.. "Algebraic cycles, Chow varieties, and Lawson homology." Compositio Mathematica 77.1 (1991): 55-93. <http://eudml.org/doc/90067>.

@article{Friedlander1991,
author = {Friedlander, Eric M.},
journal = {Compositio Mathematica},
keywords = {homotopy of Chow varieties; -adic Lawson homology groups; analytic Lawson homology groups; codimension 1 cycles; algebraic suspension},
language = {eng},
number = {1},
pages = {55-93},
publisher = {Kluwer Academic Publishers},
title = {Algebraic cycles, Chow varieties, and Lawson homology},
url = {http://eudml.org/doc/90067},
volume = {77},
year = {1991},
}

TY - JOUR
AU - Friedlander, Eric M.
TI - Algebraic cycles, Chow varieties, and Lawson homology
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 77
IS - 1
SP - 55
EP - 93
LA - eng
KW - homotopy of Chow varieties; -adic Lawson homology groups; analytic Lawson homology groups; codimension 1 cycles; algebraic suspension
UR - http://eudml.org/doc/90067
ER -

References

top
  1. 1 B. Angeniol, Familles de Cycle Algébriques - Schéma de Chow, Lecture Notes in Math896, Springer-Verlag, 1981. Zbl0496.14004MR646062
  2. 2 M. Artin and B. Mazur, Etale Homotopy, Lecture Notes in Math100, Springer-Verlag, 1969. Zbl0182.26001MR245577
  3. 3 A.K. Bousfield and D.M. Kan, Homotopy Limits, Completions, and Localizations, Lecture Notes in Math304, Springer-Verlag, 1972. Zbl0259.55004MR365573
  4. 4 P. Deligne, Cohomologie à supports propre, in Lecture Notes in Math305, Springer-Verlag, 1973. Zbl0255.14011MR354654
  5. 5 A. Dold and R. Thom, Quasifaserungen und unendliche symmetrische produkte, Ann. of Math67 (1958), 239-281. Zbl0091.37102MR97062
  6. 6 W. Dwyer and E. Friedlander, Algebraic and etale K-theory, Trans. A.M.S. 292 (1985), 247-280. Zbl0581.14012MR805962
  7. 7 E. Friedlander, The infinite loop Adams conjecture via classification theorems for F-spaces, Math. Proc. Camb. Phil. Soc. (1978), 109-150. Zbl0426.55010MR549303
  8. 8 E. Friedlander, Etale Homotopy of Simplicial Schemes, Annals of Math Studies104, Princeton University Press, 1982. Zbl0538.55001MR676809
  9. 9 E. Friedlander, Homology using Chow varieties, Bull. A.M.S.20, no. 1 (1989), 49-53. Zbl0696.14010MR945300
  10. 10 E. Friedlander and B. Mazur, Filtrations on the homology of algebraic varieties. In preparation. Zbl0841.14019
  11. 11 W. Fulton, Intersection Theory, Ergebnisse der Math, Springer-Verlag, 1984. Zbl0541.14005MR732620
  12. 12 A. Grothendieck, Fondements de la géométrie algébrique, extraits du Sém. Bourbaki1957-1962, mimeo. notes Secr. MathParis, 1962. Zbl0239.14002MR146040
  13. 13 A. Grothendieck, Revêtements Etale et Groupe Fundamental (SGA 1), Lecture Notes in Math224, Springer-Verlag, 1971. Zbl0234.14002MR2017446
  14. 14 A. Grothendieck and J. Dieudonne, Eléments de Géometrie Algébrique I, Grundlehren166, Springer-Verlag, 1971. Zbl0203.23301
  15. 15 R. Hain, letters of 8/31/87 and 9/21/87 to E. Friedlander and H. B. Lawson. 
  16. 16 R. Hartshorne, Algebraic Geometry, Graduate Texts in Math., Springer-Verlag, 1977. Zbl0367.14001MR463157
  17. 17 H. Hironaka, Triangulation of algebraic sets, Proc. of Symp. in Pure Math, vol. 25 (1975), 165-185. Zbl0332.14001MR374131
  18. 18 W. Hoyt, On the Chow bunches of different projective embeddings of a complete variety, Amer. J. Math.88 (1966), 273-278. Zbl0142.18501MR200271
  19. 19 H.B. Lawson, The topological structure of the space of algebraic varieties, Bull. A.M.S. 17, no. 2 (1987), 326-330. Zbl0686.14045MR903744
  20. 20 H.B. Lawson, Algebraic cycles and homotopy theory, Annals of Math.129 (1989), 253-291. Zbl0688.14006MR986794
  21. 21 J.P. May and R. Thomason, The uniqueness of infinite loop spaces machines, Topology17 (1978), 205-224. Zbl0391.55007MR508885
  22. 22 R.J. Milgram, The homology of symmetric products, Trans. A.M.S. 138 (1969), 251-265. Zbl0177.51404MR242149
  23. 23 J. Milne, Etale Cohomology, Princeton University Press, 1980. Zbl0433.14012MR559531
  24. 24 D. Mumford, Abelian Varieties, Oxford University Press, 1970. Zbl0223.14022MR282985
  25. 25 D. Mumford, Algebraic Geometry I, Complex Projective Varieties, Grundlehren der Math. Wissenshaften221, Springer-Verlag, 1976. Zbl0356.14002MR453732
  26. 26 M. Nagata, On the normality of the Chow variety of positive 0-cycles of degree m in an algebraic variety, Memoirs of the College of Science, University of Kyoto, Series A vol. XXIX, Math. no. 2 (1955), 165-176. Zbl0066.14701MR96668
  27. 27 P. Norman, Lifting abelian varieties, Invent. Math.64 (1981), no. 3, 431-443. Zbl0472.14021MR632983
  28. 28 P. Samuel, Methodes d'algèbre abstraite en géométrie algébrique, Springer-Verlag, 1955 (revised 1967). Zbl0067.38904
  29. 29 G. Segal, Classifying spaces and spectral sequences, Publ. Math. I.H.E.S. 34 (1968), 105-112. Zbl0199.26404MR232393
  30. 30 G. Segal, Categories and cohomology theories, Topology13 (1974), 293-312. Zbl0284.55016MR353298

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.