Algebraic cycles, Chow varieties, and Lawson homology
Compositio Mathematica (1991)
- Volume: 77, Issue: 1, page 55-93
- ISSN: 0010-437X
Access Full Article
topHow to cite
topFriedlander, 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 B. Angeniol, Familles de Cycle Algébriques - Schéma de Chow, Lecture Notes in Math896, Springer-Verlag, 1981. Zbl0496.14004MR646062
- 2 M. Artin and B. Mazur, Etale Homotopy, Lecture Notes in Math100, Springer-Verlag, 1969. Zbl0182.26001MR245577
- 3 A.K. Bousfield and D.M. Kan, Homotopy Limits, Completions, and Localizations, Lecture Notes in Math304, Springer-Verlag, 1972. Zbl0259.55004MR365573
- 4 P. Deligne, Cohomologie à supports propre, in Lecture Notes in Math305, Springer-Verlag, 1973. Zbl0255.14011MR354654
- 5 A. Dold and R. Thom, Quasifaserungen und unendliche symmetrische produkte, Ann. of Math67 (1958), 239-281. Zbl0091.37102MR97062
- 6 W. Dwyer and E. Friedlander, Algebraic and etale K-theory, Trans. A.M.S. 292 (1985), 247-280. Zbl0581.14012MR805962
- 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 E. Friedlander, Etale Homotopy of Simplicial Schemes, Annals of Math Studies104, Princeton University Press, 1982. Zbl0538.55001MR676809
- 9 E. Friedlander, Homology using Chow varieties, Bull. A.M.S.20, no. 1 (1989), 49-53. Zbl0696.14010MR945300
- 10 E. Friedlander and B. Mazur, Filtrations on the homology of algebraic varieties. In preparation. Zbl0841.14019
- 11 W. Fulton, Intersection Theory, Ergebnisse der Math, Springer-Verlag, 1984. Zbl0541.14005MR732620
- 12 A. Grothendieck, Fondements de la géométrie algébrique, extraits du Sém. Bourbaki1957-1962, mimeo. notes Secr. MathParis, 1962. Zbl0239.14002MR146040
- 13 A. Grothendieck, Revêtements Etale et Groupe Fundamental (SGA 1), Lecture Notes in Math224, Springer-Verlag, 1971. Zbl0234.14002MR2017446
- 14 A. Grothendieck and J. Dieudonne, Eléments de Géometrie Algébrique I, Grundlehren166, Springer-Verlag, 1971. Zbl0203.23301
- 15 R. Hain, letters of 8/31/87 and 9/21/87 to E. Friedlander and H. B. Lawson.
- 16 R. Hartshorne, Algebraic Geometry, Graduate Texts in Math., Springer-Verlag, 1977. Zbl0367.14001MR463157
- 17 H. Hironaka, Triangulation of algebraic sets, Proc. of Symp. in Pure Math, vol. 25 (1975), 165-185. Zbl0332.14001MR374131
- 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 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 H.B. Lawson, Algebraic cycles and homotopy theory, Annals of Math.129 (1989), 253-291. Zbl0688.14006MR986794
- 21 J.P. May and R. Thomason, The uniqueness of infinite loop spaces machines, Topology17 (1978), 205-224. Zbl0391.55007MR508885
- 22 R.J. Milgram, The homology of symmetric products, Trans. A.M.S. 138 (1969), 251-265. Zbl0177.51404MR242149
- 23 J. Milne, Etale Cohomology, Princeton University Press, 1980. Zbl0433.14012MR559531
- 24 D. Mumford, Abelian Varieties, Oxford University Press, 1970. Zbl0223.14022MR282985
- 25 D. Mumford, Algebraic Geometry I, Complex Projective Varieties, Grundlehren der Math. Wissenshaften221, Springer-Verlag, 1976. Zbl0356.14002MR453732
- 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 P. Norman, Lifting abelian varieties, Invent. Math.64 (1981), no. 3, 431-443. Zbl0472.14021MR632983
- 28 P. Samuel, Methodes d'algèbre abstraite en géométrie algébrique, Springer-Verlag, 1955 (revised 1967). Zbl0067.38904
- 29 G. Segal, Classifying spaces and spectral sequences, Publ. Math. I.H.E.S. 34 (1968), 105-112. Zbl0199.26404MR232393
- 30 G. Segal, Categories and cohomology theories, Topology13 (1974), 293-312. Zbl0284.55016MR353298
Citations in EuDML Documents
top- Paulo Lima-Filho, Lawson homology for quasiprojective varieties
- Eric M. Friedlander, Bloch-Ogus properties for topological cycle theory
- Lucio Guerra, A universal property of the Cayley-Chow space of algebraic cycles
- Eric M. Friedlander, Barry Mazur, Correspondence homomorphisms for singular varieties
- Eric M. Friedlander, Relative Chow correspondences and the Griffiths group
- Eric M. Friedlander, Filtrations on algebraic cycles and homology
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.