Could anyone point to good readable references for learning about syntomic cohomology?
4 Answers
I like the notes here, though I must confess I haven't read them completely. It has a nice introduction and explains the context.
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3$\begingroup$ It looks like the address has changed slightly: swc.math.arizona.edu/dls/DLSTsuji2.pdf $\endgroup$– CJDSep 16, 2014 at 8:18
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2$\begingroup$ To add to the previous comment (in the case that link stops working too), the text is T. Tsuji: Crystalline sheaves syntomic cohomology and p-adic polylogarithms. And here is a link to the Wayback Machine. $\endgroup$ Apr 5, 2022 at 7:10
I collected my very superficial knowledge only from browsing some articles, so that I can't give good bibl. hints. Perhaps Besser's new construction of syntomic cohomology for smooth schemes or this article by Fontaine and Messing could be useful.
Today new in the arXiv: "Cohomologie syntomique: liens avec les cohomologies étale et rigide".
Edit: Jan Nekovář announces an appendix to this article on "foundational aspects of syntomic topology and cohomology" (perhaps obtainable on request?) and mentions descriptions here and here.
Edit: It shows to be useful to look (for the keywords in various languages) for exposés of talks in the late 1980's explaining themes around Fontaine–Messing's article.
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$\begingroup$ The link to the article at
springerlink.com
is broken. Perhaps you could take a look, whenever possible… $\endgroup$ Apr 5, 2022 at 9:23
Here is a diploma thesis on syntomic cohomology: https://www.mathi.uni-heidelberg.de/~venjakob/diplom/kuemmerer.pdf