21 citations · 93 across the 36 of their papers we have counts for
5 papers · 1 filter
Hessian ideals of a homogeneous polynomial and generalized Tjurina algebras
Alexandru Dimca, Gabriel Sticlaru
Using the minors in Hessian matrices, we introduce new graded algebras associated to a homogeneous polynomial. When the associated projective hypersurface has isolated singularitie…
Syzygies of Jacobian ideals and weighted homogeneous singularities
Alexandru Dimca, Gabriel Sticlaru
Let be a projective hypersurface having only isolated singularities. We show that these singularities are weighted homogeneous if and only if the Koszul syzygies among the part…
Codimension two complete intersections and Hilbert-Poincaré series
Gabriel Sticlaru
We investigate the relation between codimension two smooth complete intersections in a projective space and some naturally associated graded algebras. We give some examples of log-…
Free divisors versus stability and coincidence thresholds
Gabriel Sticlaru
We show that there is an unexpected relation between free divisors and stability and coincidence thresholds for projective hypersurfaces.
Some criteria to check if a projective hypersurfaces is smooth or singular
Gabriel Sticlaru
In this paper we present some properties for projective hypersurfaces, smooth and singular, to be criteria for identification. To make the decision with these criteria, we have inc…