Key points are not available for this paper at this time.
Let X X be a smooth variety and Y ⊂ X Y X a closed subscheme. We use motivic integration on the space of arcs of X X to characterize the fact that (X, Y) (X, Y) is log canonical or log terminal using the dimension of the jet schemes of Y Y. This gives a formula for the log canonical threshold of (X, Y) (X, Y), which we use to prove a result of Demailly and Kollár on the semicontinuity of log canonical thresholds.
Mircea Mustaţă (Thu,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: