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Aug 10, 2010 at 17:54 comment added Simon Pepin Lehalleur Hmmm, I also co-organized a "groupe de travail" (note the suspiciouly similar french expression) on the first half of it last year... I think we have both met our döppelganger ! And where was that, if you don't mind ?
Aug 10, 2010 at 16:46 comment added anon Its funny you should mention that article. Actually, I co-organised a groupe de travail on the first half of it last year. ;-)
Aug 10, 2010 at 16:06 comment added Simon Pepin Lehalleur You might enjoy reading the following : arxiv.org/abs/0912.2110, section 7 and 8, where all this is recast and used to define $DM(S)$ for general bases $S$ (the 6 operation formalism works for rational coefficients and geometrically unibrach schemes).
Aug 10, 2010 at 15:11 comment added anon Thanks for the over-abundance of interest. A minor corrections: $\ZZ Hilb(X / S, r)$ is indeed a presheaf and cycl defines a morphism of presheaves into $z_{equi}(X / S, r)$ Corollary 3.3.11, see also Theorem 4.2.11 for another intuitive approach to $z, z^{eff}, c, c^{eff}$. For me, the image of cycl would be the most sensible definition and indeed, many proofs in that paper involve essentially reducing to the case where your cycles are in this image.
Aug 10, 2010 at 14:27 history answered Simon Pepin Lehalleur CC BY-SA 2.5