%0 Journal Article %T On purely log terminal blow-ups %A S. A. Kudryavtsev %J Mathematics %D 2001 %I arXiv %X In this paper we prove the existence of purely log terminal blow-up for Kawamata log terminal singularity and obtain the criterion for a singularity to be weakly exceptional in terms of the exceptional divisor of plt blow-up. %U http://arxiv.org/abs/math/0111278v1