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Dec 22, 2017 at 0:26 comment added j.c. I'm guessing the above referenced pdf is this one: math.stanford.edu/~conrad/papers/moreexample.pdf
Dec 22, 2010 at 9:02 history made wiki Post Made Community Wiki
Jun 18, 2010 at 22:47 comment added Kevin H. Lin Thank you for your comments and the reference, Prof. Conrad!
Jun 18, 2010 at 7:11 comment added BCnrd Kevin, this opens up a can of worms, to nail down the compatibility of the coherent trace on ${\rm{H}}^n(\Omega^n)$ and the topological trace on ${\rm{H}}^{2n}(\mathbf{C})$ with respect to the "degeneration isomorphism" between them. I had a long conversation about it with Serre, and he was very disappointed with the literature. So when "mentioning" to someone that Serre duality is a refinement, one should also mention that there is real work needed to nail down the compatibilities. There's an old .pdf file about it in the "duality" part of my webpage; quite tricky to do rigorously.
Jun 17, 2010 at 19:08 history answered Kevin H. Lin CC BY-SA 2.5