Kato, Kazuya Logarithmic structures of Fontaine-Illusie. (English) Zbl 0776.14004 Algebraic analysis, geometry, and number theory, Proc. JAMI Inaugur. Conf., Baltimore/MD (USA) 1988, 191-224 (1989). [For the entire collection see Zbl 0747.00038.]The author introduces the basic facts about logarithmic structures. These have been introduced to give a crystalline interpretation for logarithmic de Rham cohomology. They are not only successful in this respect, but apply to semistable varieties, and provide a new approach to torus- embeddings. Reviewer: G.Faltings (Princeton) Cited in 28 ReviewsCited in 277 Documents MSC: 14F30 \(p\)-adic cohomology, crystalline cohomology 14F40 de Rham cohomology and algebraic geometry 14E25 Embeddings in algebraic geometry Keywords:logarithmic poles; crystalline cohomology; logarithmic de Rham cohomology; semistable varieties; torus-embeddings Citations:Zbl 0747.00038 PDFBibTeX XMLCite \textit{K. Kato}, in: Algebraic analysis, geometry, and number theory: proceedings of the JAMI inaugural conference, held at Baltimore, MD, USA, May 16-19, 1988. Baltimore: Johns Hopkins University Press. 191--224 (1989; Zbl 0776.14004) Full Text: arXiv