%0 Journal Article %T Log Terminal Singularities %A Alberto Chiecchio %A Stefano Urbinati %J Mathematics %D 2012 %I arXiv %X In this paper we give a new point of view for optimizing the definitions related to the study of singularities of normal varieties, introduced in [dFH09] and further studied in [Urb12a] and [Urb12b], in relation to the Minimal Model Program. We introduce a notion of discrepancy for normal varieties, and we define log terminal+ singularities. We use finite generation to relate these new singularities with log terminal singularities (in the sense of [dFH09]). %U http://arxiv.org/abs/1211.6235v1