21 citations · 29 across the 10 of their papers we have counts for
19 papers
Graded Betti numbers of the Jacobian algebra and total Tjurina numbers of plane curves
Alexandru Dimca, Gabriel Sticlaru
In this paper we compute an explicit closed formula for the total Tjurina number of a reduced projective plane curve in terms of the graded Betti numbers of the correspo…
On type three complex plane curves
Alexandru Dimca, Gabriel Sticlaru
The type of a complex projective plane curve has been recently introduced by T. Abe, P. Pokora and the first author. In the same paper they have studied the type two curves. In thi…
A minimal resolution for the Jacobian ideal of a generic curve arrangement
Alexandru Dimca, Gabriel Sticlaru
We consider a nodal curve in the complex projective plane whose irreducible components are smooth. A minimal set of generators for the first and second syzygy modules…
On the Jacobian syzygies for generic toric models
Alexandru Dimca, Gabriel Sticlaru
To a generic hypersurface in the affine torus we associate a hypersurface arrangement in the projective space consisting of the coordinate h…
Bourbaki modules and the module of Jacobian derivations of projective hypersurfaces
Alexandru Dimca, Gabriel Sticlaru
Two properties of projective hypersurfaces related to the module of Jacobian derivations, namely being tame and being plus-one generated, are discussed in this paper. Tame hypersur…
Ramblings on the freeness of affine hypersurfaces
Alexandru Dimca, Gabriel Sticlaru
In this note we look at the freeness for complex affine hypersurfaces. If is such a hypersurface, and denotes the associated projective hypersurface, o…