158 citations · 706 across the 43 of their papers we have counts for
3 papers · 2 filters
Bounds for log canonical thresholds with applications to birational rigidity
Tommaso de Fernex, Lawrence Ein, Mircea Mustata
We use intersection theory, degeneration techniques and jet schemes to study log canonical thresholds. Our first result gives a lower bound for the log canonical threshold of a pai…
Jet schemes, log discrepancies and Inversion of Adjunction
Lawrence Ein, Mircea Mustata, Takehiko Yasuda
We use the theory of motivic integration for singular spaces to give a characterization of minimal log discrepencies in terms of the codimension of certain subsets of spaces of arc…
Multiplicities and log canonical threshold
Tommaso de Fernex, Lawrence Ein, Mircea Mustata
If R is a local ring of dimension n, of a smooth complex variety, and if I is a zero dimensional ideal in R, then we prove that e(I)\geq n^n/lc(I)^n. Here e(I) is the Samuel multip…