abstract: We want to address the problem of giving a criterion of good reduction for a semistable scheme defined over a complete DVR with mixed characteristic. The method we would like to use is the monodromy action. The monodromy will be used to detect good reduction but also the type of degeneration one can have when it is not smooth. We will focus on the case of K3 surfaces and we will give some hints for possible generalizations (joint work with Genaro H. Mada).