I believe that Arthur Ogus has been working on a book on this topic for many years. I don't know if it (or at least some version of it) has appeared. (I looked on his web-page and found what looks like a nice set of slides from a talk, 62 pages of them, but no actual book.)
In any event, Ogus certainly has many papers on the topic. My recommendation, if you have gotten through Kato's article, would be to start reading some of Ogus's and others' articles.
A lot of them are reasonably foundational, and should be accessible if you have Kato's article under your belt. In addition to the names already mentioned in the various comments and answers, Kisin has a couple of nice papers using log-schemes on his web-page.
One nice application, arithmetic in nature (and the first place that I saw log schemes), is the paper of Coleman--Voloch on companion forms. Kisin's paper on the Galois action on the
prime-to-p-etale fundamental group is another nice application to arithmetic geometry that I know of.
No comments:
Post a Comment