4 papers
On some invariants of hypersurface singularities
Mircea MustaÅ£Ä
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…
On singularities of determinantal hypersurfaces
Daniel Bath, Mircea MustaÅ£Ä
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 MustaÅ£Ä, 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 MustaÅ£Ä
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…