Kazuya Kato. Logarithmic Structures of Fontaine-Illusie. II —Logarithmic Flat Topology.
Abstract
This is Part II of the author’s paper Logarithmic structures of Fontaine-Illusie. We discuss log flat topology and log flat descent. We study the first log flat cohomology \(H\textasciicircum 1(X_{\log, \text{ fl}}, G)\) for various sheaves of groups \(G\), for example, \(G=GL_n\), finite flat commutative group schemes, the log multiplicative group \(M\textasciicircum{\text{ gp}}\), etc.