173 citations · 670 across the 70 of their papers we have counts for
83 papers
Higher singularities for hypersurfaces
Mircea Mustata, Jakub Witaszek
With an assumption on the codimension of the singular locus of a complex hypersurface in smooth variety , we show that if , then $\underlineΩ^i_…
A birational description of the minimal exponent
Qianyu Chen, Mircea Mustaţă
We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
Erratum to the paper: Asymptotic Invariants of Base Loci
Lawrence Ein, Robert Lazarsfeld, Mircea Mustata +2
This note points out a gap in the proof of one of the technical results in the paper "Asymptotic Invariants of Base Loci", that appeared in Ann. Inst. Fourier (Grenoble) 56 (2006),…
The minimal exponent and -rationality for local complete intersections
Qianyu Chen, Bradley Dirks, Mircea Mustaţă
We show that if is a local complete intersection subvariety of a smooth complex variety , of pure codimension , then has -rational singularities if and only if $\w…
On k-rational and k-Du Bois local complete intersections
Mircea Mustata, Mihnea Popa
We show that k-rational singularities of local complete intersections are k-Du Bois. For hypersurfaces, we characterize k-rationality in terms of the minimal exponent. We also esta…
On a conjecture of Bitoun and Schedler
Mircea Mustata, Sebastian Olano
Suppose that is a smooth complex algebraic variety of dimension and defines a hypersurface in , with a unique singular point . Bitoun and Schedler conjec…