Products in higher Chow groups and motivic cohomology

Products in higher Chow groups and motivic cohomology (1998)

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by Charles Weibel

Venue:	PROC. SYMPOS. PURE MATH
Citations:	3 - 1 self

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@INPROCEEDINGS{Weibel98productsin,
    author = {Charles Weibel},
    title = {Products in higher Chow groups and motivic cohomology},
    booktitle = {PROC. SYMPOS. PURE MATH},
    year = {1998},
    publisher = {}
}

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Abstract

We prove a compatibility theorem for the various products which have been defined on several cohomology theories: Bloch’s higher Chow groups CH i (X, n) [B1]; Bivariant cycle cohomology Ar,n(S, X) [FV]; Voevodsky’s motivic cohomology H j

Citations

416	Étale cohomology - Milne - 1980
89	Triangulated categories of motives over a field in “Cycles, transfer and motivic homology theories - Voevodsky - 2000
73	Bloch-Kato conjecture and motivic cohomology with finite coefficients. In: The arithmetic and geometry of algebraic cycles - Suslin, Voevodsky - 1998
56	The moving lemma for higher Chow groups - Bloch - 1994
53	Algebraic cycles and higher - Bloch - 1986
37	Two-primary algebraic K-theory of rings of integers in number fields Appendix A by Manfred Kolster - Rognes, Weibel
36	On the K-theory of algebraically closed fields - Suslin - 1983
34	Simplicial objects in a Grothendieck topos. In Applications of algebraic K-theory to algebraic geometry and number theory, Part I - Jardine - 1983
32	A spectral sequence for motivic cohomology - Bloch, Lichtenbaum - 1995
30	Voevodsky Bivariant cycle cohomology - Friedlander, V - 1999
10	Étale Chern classes at the prime 2, Algebraic K-theory and Algebraic Topology - Weibel - 1993
7	Relative cycles and Chow sheaves - Suslin, Voevodsky - 2000
6	Some conjectures on the algebraic K-theory of fields I: K-theory with coefficients and étale cohomology, Algebraic K-theory: Connections with Geometry and Topology - Kahn - 1989
3	Chow groups and étale cohomology - Higher - 1994