112 citations · 609 across the 116 of their papers we have counts for
141 papers
On the Jacobian algebras of Ziegler pairs of plane arrangements
Alexandru Dimca, Piotr Pokora
We consider a Ziegler pair of plane arrangements, that is two plane arrangements and in the projective space , such that the int…
On the degree of the singular subscheme of hypersurfaces in
Alexandru Dimca, Gabriel Sticlaru
Explicit formulas determining the dimension and the degree of the singular subscheme of hypersurfaces in are given in terms of the graded Betti numbers of the minim…
Graded Betti numbers of the Jacobian algebra of surfaces in
Alexandru Dimca, Gabriel Sticlaru
We compute an explicit closed formula for the Hilbert polynomial of the Jacobian algebra of a reduced surface in in terms of the graded Betti numbers o…
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…