We study certain kinds of geometric correspondences between (possibly singular) algebraic varieties and we obtain comparison results regarding natural filtrations on the homology of varieties.
Nous étudions la notion de correspondance géométrique entre des variétés algébriques (éventuellement singulières) et nous obtenons des résultats de comparaison entre plusieurs filtrations naturelles de l’homologie des variétés.
@article{AIF_1994__44_3_703_0, author = {Friedlander, Eric M. and Mazur, Barry}, title = {Correspondence homomorphisms for singular varieties}, journal = {Annales de l'Institut Fourier}, pages = {703--727}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {44}, number = {3}, year = {1994}, doi = {10.5802/aif.1415}, mrnumber = {95j:14009}, zbl = {0811.14007}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1415/} }
TY - JOUR AU - Friedlander, Eric M. AU - Mazur, Barry TI - Correspondence homomorphisms for singular varieties JO - Annales de l'Institut Fourier PY - 1994 SP - 703 EP - 727 VL - 44 IS - 3 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.1415/ DO - 10.5802/aif.1415 LA - en ID - AIF_1994__44_3_703_0 ER -
%0 Journal Article %A Friedlander, Eric M. %A Mazur, Barry %T Correspondence homomorphisms for singular varieties %J Annales de l'Institut Fourier %D 1994 %P 703-727 %V 44 %N 3 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.1415/ %R 10.5802/aif.1415 %G en %F AIF_1994__44_3_703_0
Friedlander, Eric M.; Mazur, Barry. Correspondence homomorphisms for singular varieties. Annales de l'Institut Fourier, Volume 44 (1994) no. 3, pp. 703-727. doi : 10.5802/aif.1415. http://archive.numdam.org/articles/10.5802/aif.1415/
[AF] The Lefschetz theorem on hyperplane sections, Ann. of Math., (2) 69 (1959), 713-717. | MR | Zbl
and ,[B] Notes on the “Joint Theorem”, preprint, Institut Elie Cartan, Université Nancy, 1991.
,[D] Lectures on Algebraic Topology, Springer-Verlag, 1972. | MR | Zbl
,[DT] Quasifaserungen und unendliche symmetrische produkte, Ann. of Math., (2) 67 (1958), 239-281. | MR | Zbl
and ,[F1] Algebraic cycles, Chow varieties, and Lawson homology, Compositio Mathematica, 77 (1991), 55-93. | EuDML | Numdam | MR | Zbl
,[F2] Filtrations on algebraic cycles and homology, to appear in Ann. Ec. Norm. Sup. | EuDML | Numdam | MR | Zbl
,[FG] Cycle spaces and intesection theory, in Topological Methods in Modern Mathematics, Publish or Perish 1993, 325-370. | MR | Zbl
and ,[FL] A theory of algebraic cocycles, Annals of Math., 136 (1992), 361-428. | MR | Zbl
and ,[FM] Filtrations on the homology of algebraic varieties, to appear as a Memoir of the A.M.S. | MR | Zbl
and ,[G] Hodge's general conjecture is false for trivial reasons, Topology, 8 (1969), 299-303. | MR | Zbl
,[H] Triangulation of algebraic sets, pp. 165-185, in Algebraic Geometry, Arcata 1974 : Proceedings of a Symposium in Pure Mathematics 29, A.M.S. Providence, 1975. | MR | Zbl
,[L] Algebraic cycles and homotopy theory, Annals of Math., 129 (1989), 253-291. | MR | Zbl
,[LM] Algebraic cycles, Bott periodicity, and the Chern characteristic map, The Mathematical Heritage of Herman Weyl, AMS 1988, 241-264. | MR | Zbl
and ,[LF] Completion and fibrations for topological monoids and excision for Lawson homology, Trans. A.M.S., 340, n° 1 (1993), 127-147. | MR | Zbl
,[MS] Homology fibrations and the “group completion” theorem, Inventiones Math., 31 (1967), 279-284. | MR | Zbl
and ,[M] On spaces having the homotopy type of a CW complex, Trans. A.M.S., 90 (1959), 272-280. | MR | Zbl
,[MM] On the structure of Hopf algebras, Annals of Math., (2) 81 (1965), 211-264. | MR | Zbl
and ,[V] Harvard Ph. D Thesis, 1992.
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