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May 8, 2012 at 22:31 comment added Alex Yes, when I wrote my answer I had not realized that $\mathbb{Z}/\ell^m\mathbb{Z}$ coefficients work just like $\mathbb{Z}/\ell\mathbb{Z}$ for many things. There is a self-dual t-structure, BBD 4.1 is still fine I think, though you have to be careful if you want to take tensor products.
May 7, 2012 at 20:05 comment added Mikhail Bondarko Do you think that the situation changes when one replaces $Z/lZ$-derived categories with (say) $Z/l^2Z$-ones? It seems that the 'canonical' $t$-structure for $Z/l^2Z$-modules is self-dual, so that there should exist a self-dual $t$ also. Something like this is said in \S4.0 of BBD; yet I am not sure that I understood this French text correctly.
Sep 23, 2011 at 19:47 vote accept Mikhail Bondarko
Sep 23, 2011 at 15:55 history answered Alex CC BY-SA 3.0