103 citations · 133 across the 14 of their papers we have counts for
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math.AG2002
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…
math.AG2002★ 1 cited
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…
math.AC2002
On multiplicities of graded sequences of ideals
Mircea Mustata
We generalize a result of Ein-Lazarsfeld-Smith (math.AG/0202303), proving that for an arbitrary sequence of zero-dimensional ideals, the multiplicity of the sequence is equal with…