103 citations · 157 across the 19 of their papers we have counts for
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The log canonical threshold of homogeneous affine hypersurfaces
Lawrence Ein, Mircea Mustata
We prove that if Y is a hypersurface of degree d in P^n with isolated singularities, then the log canonical threshold of (P^n,Y) is at least min{n/d,1}. Moreover, if d is at least…
Divisors on and the Minimal Resolution Conjecture for points on canonical curves
Gavril Farkas, Mircea Mustata, Mihnea Popa
We formulate a conjecture on the behavior of the minimal free resolutions of sets of general points on arbitrary varieties embedded by complete linear series, in analogy with the w…
Singularities of Pairs via Jet Schemes
Mircea Mustata
Let X be a smooth variety and Y a closed subscheme of X. By comparing motivic integrals on X and on a log resolution of (X,Y), we prove the following formula for the log canonical…
The Multiplier Ideals of a Sum of Ideals
Mircea Mustata
Let X be a smooth variety and J, K two ideal sheaves on X. We prove the following formula relating the multiplier ideals of J, K and J+K: I(X, c(J+K))\subset \sum_{a+b=c} I(X, aJ)\…