Abramovich, Chen — Stable Logarithmic Maps To Deligne-Faltings Pairs Ii (2014)

We make an observation which enables one to deduce the existence of an algebraic stack of log maps for all generalized Deligne–Faltings log structures (in particular simple normal crossings divisor) from the simplest case with log structures given by a Cartier divisor (essentially the smooth divisor case).