A connectedness theorem over the spectrum of a formal power series ring
  We study the connectedness of the non-subklt locus over the spectrum of a formal power series ring. In dimension 3, we prove the existence and normality of the smallest lc centre, and apply it to the ACC for minimal log discrepancies greater than 1 on non-singular 3-folds. 
Masayuki Kawakita
math.AG