by Markus Rost (75 pages)
Doc. Math. 1 (1996), No. 16, 319-393.
Summary: We develop a generalization of the classical Chow groups in order to have available some standard properties for homology theories: long exact sequences, spectral sequences for fibrations, homotopy invariance and intersections. The basis for our constructions is Milnor's K-theory.
Full text: EuDML, local copy: [pdf].
This is by far my most cited paper as single author. Once I got the following comment:
If one actually reads your paper, it is very interesting.
I was using the content of the paper since 1987, mainly to compute Chow groups of some quadrics. Particular applications were considerations for K4/2 (never published) and computations for the now so-called "Rost motive" (Some new results on the Chow groups of quadrics). The first version (handwritten) stems from 1993.
Correction:
On page 377 there is the erroneous remark: "The flatness [of the double deformation cone] over A2 (not needed in the following) may be deduced from Remark 10.1.". However, flatness does not hold in general (there is a simple example in the non-regular case). The remark is not used anywhere in the text.
Thanks to Merkurjev for pointing out the error.
Related:
Related II:
Correction II:
As pointed out in the article by Ivorra (footnote on p. 171), the signs in (14.3), (14.4) are incorrect: The sign exponent n has to be replaced by n+p. (The proof "immediate from the definitions" is correct…)