132 citations
- Centre National de la Recherche ScientifiqueFR12 papers
- Romanian AcademyRO10 papers
- Université Côte d'AzurFR8 papers
- IMAR - Institutul de Matematică „Simion Stoilow” al Academiei RomâneRO7 papers
- Institute of MathematicsPL6 papers
- National Academy of Sciences of UkraineUA6 papers
- Institut national de recherche en sciences et technologies du numériqueFR5 papers
- Laboratoire Jean-Alexandre DieudonnéFR5 papers
- University of Duisburg-EssenDE5 papers
- Academia Oamenilor de Știință din RomâniaRO3 papers
- Government College University, LahorePK3 papers
- Institut Universitaire de FranceFR3 papers
13 papers · 1 filter
Construction of free curves by adding lines to a given curve
Alexandru Dimca, Giovanna Ilardi, Piotr Pokora +1
In the present note we construct new families of free plane curves starting from a curve and adding high order inflectional tangent lines of , lines joining the singularitie…
Addition-deletion results for the minimal degree of a Jacobian syzygy of a union of two curves
A. Dimca, G. Ilardi, G. Sticlaru
Let be a reduced curve in the complex projective plane. The minimal degree of a Jacobian syzygy for , which is the same as the minimal degree of a derivation ki…
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…
Waring rank of symmetric tensors, and singularities of some projective hypersurfaces
Alexandru Dimca, Gabriel Sticlaru
We show that if a homogeneous polynomial in variables has Waring rank , then the corresponding projective hypersurface has at most isolated singularities, and th…
Plane curves with three syzygies, minimal Tjurina curves curves, and nearly cuspidal curves
Alexandru Dimca, Gabriel Sticlaru
We start the study of reduced complex projective plane curves, whose Jacobian syzygy module has 3 generators. Among these curves one finds the nearly free curves introduced by the…
On the jumping lines of bundles of logarithmic vector fields along plane curves
Alexandru Dimca, Gabriel Sticlaru
For a reduced curve in the complex projective plane , we study the set of jumping lines for the rank two vector bundle on …