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Could anyone point to good readable references for learning about syntomic cohomology?

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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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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.

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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
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Here is a diploma thesis on syntomic cohomology: https://www.mathi.uni-heidelberg.de/~venjakob/diplom/kuemmerer.pdf

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