Functors of log Artin rings (Q1387921)

The author presents a generalization of the classical theory of functors of Artin rings in the framework of log geometry. Some criteria for the existence of a pseudo-hull, pseudo-pro-representability and pro-representability of a functor \(F : LC_{\Lambda}\to \text{Sets}\) are collected in the main result (theorem 3.13). As an application the log smooth deformation theory is studied at the end of the paper.