1 citations · 2 across the 8 of their papers we have counts for
8 papers
On some invariants of hypersurface singularities
Mircea Mustaţă
Given a hypersurface defined by in a smooth complex algebraic variety , and a point on this hypersurface, we consider the invariant given by the log canonical t…
On singularities of determinantal hypersurfaces
Daniel Bath, Mircea Mustaţă
Given a closed subscheme in a smooth variety , defined by the maximal minors of an matrix of regular functions, with , we consider the corresponding inc…
Singularities of square-free polynomials
Daniel Bath, Mircea Mustaţă, Uli Walther
We prove that hypersurfaces defined by irreducible square-free polynomials have rational singularities. As an easy consequence, we deduce that certain (possibly non-square-free) po…
The minimal exponent of cones over smooth complete intersection projective varieties
Qianyu Chen, Bradley Dirks, Mircea Mustaţă
We compute the minimal exponent of the affine cone over a complete intersection of smooth projective hypersurfaces intersecting transversely. The upper bound for the minimal expone…
An introduction to -filtrations
Qianyu Chen, Bradley Dirks, Mircea Mustaţă
We give an introduction to the theory of -filtrations of Malgrange and Kashiwara. After discussing the basic properties of this construction (in the case of a smooth hypersurfac…
An estimate for F-jumping numbers via the roots of the Bernstein-Sato polynomial
Mircea Mustaţă
Given a smooth complex algebraic variety and a nonzero regular function on , we give an effective estimate for the difference between the jumping numbers of and the…