|
Waring rank of binary forms, harmonic cross-ratio and golden ratio
Alexandru Dimca
,
Gabriel Sticlaru
Tohoku mathematical journal, In press
Article dans une revue
hal-03531092v1
|
|
Unexpected curves in $\mathbb{P}^2$, line arrangements, and minimal degree of Jacobian relations
Alexandru Dimca
Journal of Commutative Algebra, In press
Article dans une revue
hal-03531314v1
|
|
On conic-line arrangements with nodes, tacnodes, and ordinary triple points
Alexandru Dimca
,
Piotr Pokora
Article dans une revue
hal-03531120v1
|
|
On the Bounded Negativity Conjecture and singular plane curves
Alexandru Dimca
,
Brian Harbourne
,
Gabriel Sticlaru
Moscow Mathematical Journal, In press
Article dans une revue
hal-03531128v1
|
|
The Hessian polynomial and the Jacobian ideal of a reduced hypersurface in
$\mathbb{P}^n$
Laurent Busé
,
Alexandru Dimca
,
Hal Schenck
,
Gabriel Sticlaru
Article dans une revue
hal-02337441v1
|
|
Plane curves with three syzygies, minimal Tjurina curves, and nearly cuspidal curves
Alexandru Dimca
,
Gabriel Sticlaru
Geometriae Dedicata, 2020
Article dans une revue
hal-03531073v1
|
|
Deformations of plane curves and Jacobian syzygies
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-01951973v1
|
|
Computing Milnor fiber monodromy for some projective hypersurfaces
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-01518711v1
|
|
On the jumping lines of bundles of logarithmic vector fields along plane curves
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-01951978v1
|
|
Jacobian syzygies, Fitting ideals, and plane curves with maximal global Tjurina numbers
Alexandru Dimca
,
Gabriel Sticlaru
Collectanea Mathematica, 2020
Article dans une revue
hal-03531082v1
|
|
On complex supersolvable line arrangements
Alexandru Dimca
,
Takuro Abe
Article dans une revue
hal-02514557v1
|
|
Freeness and invariants of rational plane curves
Laurent Busé
,
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-01767751v2
|
|
On the minimal value of global Tjurina numbers for line arrangements
Alexandru Dimca
Article dans une revue
hal-01951976v1
|
|
Waring Rank of Symmetric Tensors, and Singularities of Some Projective Hypersurfaces
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-03531057v1
|
|
On the Milnor monodromy of the irreducible complex reflection arrangements
Alexandru Dimca
Article dans une revue
hal-01518725v1
|
|
On rational cuspidal plane curves, and the local cohomology of Jacobian rings
Alexandru Dimca
Article dans une revue
hal-01616860v1
|
|
Saturation of Jacobian ideals: Some applications to nearly free curves, line arrangements and rational cuspidal plane curves
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-01761548v1
|
|
Freeness for 13 lines arrangements is combinatorial
Alexandru Dimca
,
Denis Ibadula
,
Anca Macinic
Article dans une revue
hal-01761541v1
|
|
Computing the monodromy and pole order filtration on Milnor fiber cohomology of plane curves
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-01518716v1
|
|
Line and rational curve arrangements, and Walther's inequality
Alexandru Dimca
,
Gabriel Sticlaru
Rendiconti Lincei. Matematica e Applicazioni, 2019, 30, pp.615--633. ⟨10.4171/RLM/863⟩
Article dans une revue
hal-01761528v1
|
|
On the splitting type of bundles of logarithmic vector fields along plane curves
Alexandru Dimca
,
Takuro Abe
Article dans une revue
hal-01616859v1
|
|
On supersolvable and nearly supersolvable line arrangements
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-01761545v1
|
|
Free and nearly free curves from conic pencils
Alexandru Dimca
Article dans une revue
hal-01518709v1
|
|
On the Milnor monodromy of the exceptional reflection arrangement of type G31
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-01518724v1
|
|
On 1-forms on isolated complete intersection curve singularities
Alexandru Dimca
,
Gert-Martin Greuel
Article dans une revue
hal-01616861v1
|
|
A vanishing result for the first twisted cohomology of affine varieties and applications to line arrangements
Alexandru Dimca
,
Pauline Bailet
,
Masahiko Yoshinaga
Article dans une revue
hal-01616857v1
|
|
On the freeness of rational cuspidal plane curves
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-01761536v1
|
|
Free and nearly free curves vs. rational cuspidal plane curves
Alexandru Dimca
,
Gabriel Sticlaru
Publications of the Research Institute for Mathematical Sciences, 2018, 54, pp.163-179. ⟨10.4171/PRIMS/54-1-6⟩
Article dans une revue
hal-01195953v1
|
|
Free and nearly free surfaces in P^3
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-01195955v1
|
|
On the exponents of free and nearly free projective plane curves
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-01264925v1
|
|
Free divisors and rational cuspidal plane curves
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-01141808v1
|
|
On the syzygies and Hodge theory of nodal hypersurfaces
Alexandru Dimca
Article dans une revue
hal-00940157v1
|
|
Jacobian syzygies, stable reflexive sheaves, and Torelli properties for projective hypersurfaces with isolated singularities
Alexandru Dimca
Article dans une revue
hal-01141819v1
|
|
Curve arrangements, pencils, and Jacobian syzygies
Alexandru Dimca
Article dans une revue
hal-01264926v1
|
|
Freeness versus maximal global Tjurina number for plane curves
Alexandru Dimca
Article dans une revue
hal-01195960v1
|
|
A computational approach to Milnor fiber cohomology
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-01518728v1
|
|
Mixed multiplicities, Hilbert polynomials and homaloidal surfaces
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-01195958v1
|
|
Hilbert series and Lefschetz properties of dimension one almost complete intersections
Alexandru Dimca
,
Dorin Popescu
Article dans une revue
hal-01141824v1
|
|
Freeness versus maximal degree of the singular subscheme for surfaces in P^3
Alexandru Dimca
Article dans une revue
hal-01195961v1
|
|
Syzygies of Jacobian ideals and weighted homogeneous singularities
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-01141823v1
|
|
The Poincaré-Deligne polynomial of Milnor fibers of triple point line arrangements is combinatorially determined
Alexandru Dimca
Article dans une revue
hal-01141817v1
|
|
On the fundamental groups of normal varieties
Donu Arapura
,
Alexandru Dimca
,
Richard Hain
Article dans une revue
hal-01141811v1
|
|
Pencil type line arrangements of low degree: classification and monodromy
Alexandru Dimca
,
Denis Ibadula
,
Daniela Anca Macinic
Article dans une revue
hal-00940167v1
|
|
On the topology of some quasi-projective surfaces
Alexandru Dimca
Revue roumaine de mathématiques pures et appliquées, 2015, 60, pp.321-330
Article dans une revue
hal-01196016v1
|
|
On the fundamental groups of plane curve complements
Alexandru Dimca
,
Enrique Artal Bartolo
Annali dell'Universita di Ferrara, 2015, 61, pp.255-262
Article dans une revue
hal-01196017v1
|
|
Koszul complexes and pole order filtrations
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-00940196v1
|
|
Algebraic models, Alexander-type invariants, and Green-Lazarsfeld sets
Alexandru Dimca
,
Stefan Papadima
,
Alexander I. Suciu
Bull. Math. Soc. Sci. Math. Roumanie, 2015, 58 ((106)), pp.257-269
Article dans une revue
hal-01141821v1
|
|
Hessian ideals of a homogeneous polynomial and generalized Tjurina algebras
Alexandru Dimca
,
Gabriel Sticlaru
Documenta Mathematica, 2015, 20, pp.689-705
Article dans une revue
hal-01141814v1
|
|
Syzygies and logarithmic vector fields along plane curves
Alexandru Dimca
,
Edoardo Sernesi
Journal de l'École polytechnique — Mathématiques, 2014, 1, pp.247-267. ⟨10.5802/jep.10⟩
Article dans une revue
hal-00940150v1
|
|
Number of Jordan blocks of the maximal size for local monodromies
Alexandru Dimca
,
Morihiko Saito
Article dans une revue
hal-00940183v1
|
|
Nonabelian cohomology jump loci from an analytic viewpoint
Alexandru Dimca
,
Stefan Papadima
Article dans une revue
hal-00940186v1
|
|
The abelianization of the Johnson kernel
Alexandru Dimca
,
Richard Hain
,
Stefan Papadima
Article dans une revue
hal-00940205v1
|
|
Some remarks on limit mixed Hodge structure and spectrum
Alexandru Dimca
,
Morihiko Saito
An. Stiint. Univ. Ovidius Constanta, Ser. Mat., 2014, 22 (2), pp.69-78
Article dans une revue
hal-00940173v1
|
|
Syzygies of Jacobian ideals and defects of linear systems
Alexandru Dimca
Bull. Math. Soc. Sci. Math. Roumanie, 2013, 56(104), pp.191-203
Article dans une revue
hal-00940177v1
|
|
Weight filtration of the limit mixed Hodge structure at infinity for tame polynomials
Alexandru Dimca
,
Morihiko Saito
Article dans une revue
hal-00940194v1
|
|
Arithmetic group symmetry and finiteness properties of Torelli groups
Alexandru Dimca
,
Stefan Papadima
Annals of Mathematics, 2013, 177, pp.395-423
Article dans une revue
hal-00940210v1
|
|
On the syzygies and Alexander polynomials of nodal hypersurfaces
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-00940191v1
|
|
Chebyshev curves, free resolutions and rational curve arrangements
Alexandru Dimca
,
Gabriel Sticlaru
Article dans une revue
hal-00940200v1
|
|
Vanishing cycle sheaves of one-parameter smoothings and quasi-semistable degenerations
Alexandru Dimca
,
Morihiko Saito
Journal of Algebraic Geometry, 2012, 21, pp.247-253
Article dans une revue
hal-00940380v1
|
|
Tate properties, polynomial-count varieties, and monodromy of hyperplane arrangements
Alexandru Dimca
Article dans une revue
hal-00940207v1
|
|
Finite Galois covers, cohomology jump loci, formality properties, and multinets
Alexandru Dimca
,
Stefan Papadima
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2011, 10, pp.253-268
Article dans une revue
hal-00940215v1
|
|
Spectrum and multiplier ideals of arbitrary subvarieties
Alexandru Dimca
,
Philippe Maisonobe
,
Morihiko Saito
Article dans une revue
hal-01289063v1
|
|
Quasi-Kähler groups, 3-manifold groups, and formality
Alexandru Dimca
,
Stefan Papadima
,
Alexander I. Suciu
Article dans une revue
hal-00940382v1
|
|
Characteristic varieties and logarithmic differential 1-forms
Alexandru Dimca
Article dans une revue
hal-00940384v1
|
|
Topology and geometry of cohomology jump loci
Alexandru Dimca
,
Stefan Papadima
,
Alexander I. Suciu
Duke Mathematical Journal, 2009, 148 (3), pp.405-457
Article dans une revue
hal-00940229v1
|
|
The Milnor fibre of the Pfaffian and the Hilbert scheme of four points on C^3
Alexandru Dimca
,
Balazs Szendroi
Mathematical Research Letters, 2009, 16, pp.1037-1055
Article dans une revue
hal-00940225v1
|