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# Alexandru Dimca

80
Documents

## Publications

### On the Bounded Negativity Conjecture and singular plane curves

Moscow Mathematical Journal, inPress
Journal articles

### On conic-line arrangements with nodes, tacnodes, and ordinary triple points

Journal of Algebraic Combinatorics, inPress, ⟨10.1007/s10801-022-01116-3⟩
Journal articles

### Unexpected curves in $\mathbb{P}^2$, line arrangements, and minimal degree of Jacobian relations

Journal of Commutative Algebra, inPress
Journal articles

### Waring rank of binary forms, harmonic cross-ratio and golden ratio

Tohoku mathematical journal, inPress
Journal articles

### The Hessian polynomial and the Jacobian ideal of a reduced hypersurface in $\mathbb{P}^n$

Advances in Mathematics, 2021, 392, ⟨10.1016/j.aim.2021.108035⟩
Journal articles

### On complex supersolvable line arrangements

Journal of Algebra, 2020, 552, pp.38--51. ⟨10.1016/j.jalgebra.2020.02.007⟩
Journal articles

### On the minimal value of global Tjurina numbers for line arrangements

European Journal of Mathematics, 2020, ⟨10.1007/s40879-019-00373-0⟩
Journal articles

### Waring Rank of Symmetric Tensors, and Singularities of Some Projective Hypersurfaces

Mediterranean Journal of Mathematics, 2020, 17 (6), ⟨10.1007/s00009-020-01609-0⟩
Journal articles

### Jacobian syzygies, Fitting ideals, and plane curves with maximal global Tjurina numbers

Collectanea Mathematica, 2020
Journal articles

### On the jumping lines of bundles of logarithmic vector fields along plane curves

Publicacions Matem\`atiques, 2020, 64 (2), pp.513-542. ⟨10.5565/PUBLMAT6422006⟩
Journal articles

### Freeness and invariants of rational plane curves

Mathematics of Computation, 2020, 89, pp.1525--1546. ⟨10.1090/mcom/3495⟩
Journal articles

### Computing Milnor fiber monodromy for some projective hypersurfaces

Contemporary mathematics, 2020, A panorama of singularities, 742, pp.31--52. ⟨10.1090/conm/742/14937⟩
Journal articles

### Plane curves with three syzygies, minimal Tjurina curves, and nearly cuspidal curves

Geometriae Dedicata, 2020
Journal articles

### Deformations of plane curves and Jacobian syzygies

Mathematical News / Mathematische Nachrichten, 2020, 293, pp.475--490. ⟨10.1002/mana.201900137⟩
Journal articles

### Computing the monodromy and pole order filtration on Milnor fiber cohomology of plane curves

Journal of Symbolic Computation, 2019, 91, pp.98-115. ⟨10.1016/j.jsc.2018.06.015⟩
Journal articles

### Line and rational curve arrangements, and Walther's inequality

Rendiconti Lincei. Matematica e Applicazioni, 2019, 30, pp.615--633. ⟨10.4171/RLM/863⟩
Journal articles

### On the Milnor monodromy of the irreducible complex reflection arrangements

Journal of the Institute of Mathematics of Jussieu, 2019, 18, pp.1215--1231. ⟨10.1017/S147474801700038X⟩
Journal articles

### Freeness for 13 lines arrangements is combinatorial

Discrete Mathematics, 2019, 342, pp.2445--2453. ⟨10.1016/j.disc.2019.05.016⟩
Journal articles

### On rational cuspidal plane curves, and the local cohomology of Jacobian rings

Commentarii Mathematici Helvetici, 2019, 94, pp.689--700. ⟨10.4171/CMH/471⟩
Journal articles

### Saturation of Jacobian ideals: Some applications to nearly free curves, line arrangements and rational cuspidal plane curves

Journal of Pure and Applied Algebra, inPress, Journal of Pure and Applied Algebra, ⟨10.1016/j.jpaa.2019.03.009⟩
Journal articles

### A vanishing result for the first twisted cohomology of affine varieties and applications to line arrangements

Manuscripta mathematica, 2018, 157, pp.497-511. ⟨10.1007/s00229-018-0999-y⟩
Journal articles

### Free and nearly free curves vs. rational cuspidal plane curves

Publications of the Research Institute for Mathematical Sciences (RIMS), 2018, 54, pp.163-179. ⟨10.4171/PRIMS/54-1-6⟩
Journal articles

### Free and nearly free surfaces in P^3

Asian J. Math., 2018, 22, pp.787-810. ⟨10.4310/AJM.2018.v22.n5.a1⟩
Journal articles

### On supersolvable and nearly supersolvable line arrangements

Journal of Algebraic Combinatorics, 2018, ⟨10.1007/s10801-018-0859-6⟩
Journal articles

### On the freeness of rational cuspidal plane curves

Moscow Mathematical Journal, 2018, 18, pp.659--666. ⟨10.17323/1609-4514-2018-18-4-659-666⟩
Journal articles

### On 1-forms on isolated complete intersection curve singularities

Journal of Singularities, 2018, 18, pp.114-118. ⟨10.5427/jsing.2018.18h⟩
Journal articles

### On the Milnor monodromy of the exceptional reflection arrangement of type G31

Documenta Mathematica, 2018, 23, pp.1-14. ⟨10.25537/dm.2018v23.1-14⟩
Journal articles

### Free and nearly free curves from conic pencils

J. Korean Math. Soc., 2018, 55, pp.705-717. ⟨10.4134/JKMS.j170425⟩
Journal articles

### On the splitting type of bundles of logarithmic vector fields along plane curves

International Journal of Mathematics, 2018, 29, pp.1850055. ⟨10.1142/S0129167X18500556⟩
Journal articles

### Jacobian syzygies, stable reflexive sheaves, and Torelli properties for projective hypersurfaces with isolated singularities

Algebraic Geometry, 2017, 4, pp.290-303. ⟨10.14231/AG-2017-016⟩
Journal articles

### Mixed multiplicities, Hilbert polynomials and homaloidal surfaces

Math. Nachrichten, 2017, 290, pp.785-793. ⟨10.1002/mana.201600205⟩
Journal articles

### A computational approach to Milnor fiber cohomology

Forum Mathematicum, 2017, 29, pp.831-846. ⟨10.1515/forum-2016-0044⟩
Journal articles

### Free divisors and rational cuspidal plane curves

Mathematical Research Letters, 2017, 24 (4), pp.1023-1042. ⟨10.4310/MRL.2017.v24.n4.a5⟩
Journal articles

### On the exponents of free and nearly free projective plane curves

Revista Matematica Complutense, 2017, 30, pp.259-268. ⟨10.1007/s13163-017-0228-3⟩
Journal articles

### Freeness versus maximal global Tjurina number for plane curves

Math. Proc. Cambridge Phil. Soc., 2017, 163, pp.161-172. ⟨10.1017/S0305004116000803⟩
Journal articles

### Curve arrangements, pencils, and Jacobian syzygies

Michigan Mathematical Journal, 2017, 66 (2), pp.347-365. ⟨10.1307/mmj/1490639821⟩
Journal articles

### On the syzygies and Hodge theory of nodal hypersurfaces

Annali dell'Universita di Ferrara, 2017, 63, pp.87-101. ⟨10.1007/s11565-017-0278-y⟩
Journal articles

### On the fundamental groups of normal varieties

Communications in Contemporary Mathematics, 2016, 18 (4), 17 p., DOI:10.1142/S0219199715500650. ⟨10.1142/S0219199715500650⟩
Journal articles

### Pencil type line arrangements of low degree: classification and monodromy

Annali della Scuola Normale Superiore di Pisa, 2016, XV, pp.249-267. ⟨10.2422/2036-2145.201306_003⟩
Journal articles

### Syzygies of Jacobian ideals and weighted homogeneous singularities

Journal of Symbolic Computation, 2016, 74, pp.627-634. ⟨10.1016/j.jsc.2015.11.003⟩
Journal articles

### The Poincaré-Deligne polynomial of Milnor fibers of triple point line arrangements is combinatorially determined

Canadian Mathematical Bulletin, 2016, 59, pp.279-286. ⟨10.4153/CMB-2016-003-1⟩
Journal articles

### Freeness versus maximal degree of the singular subscheme for surfaces in P^3

Geometriae Dedicata, 2016, 183, pp.101-112. ⟨10.1007/s10711-016-0148-2⟩
Journal articles

### Hilbert series and Lefschetz properties of dimension one almost complete intersections

Communications in Algebra, 2016, 44, pp.4467-4482. ⟨10.1080/00927872.2015.1087535⟩
Journal articles

### Hessian ideals of a homogeneous polynomial and generalized Tjurina algebras

Documenta Mathematica, 2015, 20, pp.689-705
Journal articles

### Algebraic models, Alexander-type invariants, and Green-Lazarsfeld sets

Bull. Math. Soc. Sci. Math. Roumanie, 2015, 58 ((106)), pp.257-269
Journal articles

### On the fundamental groups of plane curve complements

Annali dell'Universita di Ferrara, 2015, 61, pp.255-262
Journal articles

### On the topology of some quasi-projective surfaces

Revue roumaine de mathématiques pures et appliquées, 2015, 60, pp.321-330
Journal articles

### Koszul complexes and pole order filtrations

Proceedings of the Edinburgh Mathematical Society, 2015, 58 (2), pp.333-354. ⟨10.1017/S0013091514000182⟩
Journal articles

### Nonabelian cohomology jump loci from an analytic viewpoint

Communications in Contemporary Mathematics, 2014, 16, pp.1-47. ⟨10.1142/S0219199713500259⟩
Journal articles

### The abelianization of the Johnson kernel

Journal of the European Mathematical Society, 2014, 16, pp.805-822. ⟨10.4171/JEMS/447⟩
Journal articles

### Some remarks on limit mixed Hodge structure and spectrum

An. Stiint. Univ. Ovidius Constanta, Ser. Mat., 2014, 22 (2), pp.69-78
Journal articles

### Number of Jordan blocks of the maximal size for local monodromies

Compositio Mathematica, 2014, 150, pp.344-368. ⟨10.1112/S0010437X13007513⟩
Journal articles

### Syzygies and logarithmic vector fields along plane curves

Journal de l'Ecole Polytechnique, 2014, 1, pp.247-267. ⟨10.4171/JEMS/447⟩
Journal articles

### Arithmetic group symmetry and finiteness properties of Torelli groups

Annals of Mathematics, 2013, 177, pp.395-423
Journal articles

### Weight filtration of the limit mixed Hodge structure at infinity for tame polynomials

Mathematische Zeitschrift, 2013, 275, pp.293-306. ⟨10.1007/s00209-012-1135-4⟩
Journal articles

### Syzygies of Jacobian ideals and defects of linear systems

Bull. Math. Soc. Sci. Math. Roumanie, 2013, 56(104), pp.191-203
Journal articles

### Vanishing cycle sheaves of one-parameter smoothings and quasi-semistable degenerations

Journal of Algebraic Geometry, 2012, 21, pp.247-253
Journal articles

### Tate properties, polynomial-count varieties, and monodromy of hyperplane arrangements

Nagoya Mathematical Journal, 2012, 206, pp.75-97. ⟨10.1215/00277630-1548502⟩
Journal articles

### Chebyshev curves, free resolutions and rational curve arrangements

Mathematical Proceedings of the Cambridge Philosophical Society, 2012, 153, pp.385-397. ⟨10.1017/S0305004112000138⟩
Journal articles

### On the syzygies and Alexander polynomials of nodal hypersurfaces

Mathematical News / Mathematische Nachrichten, 2012, 285 (17-18), pp.2120-2128. ⟨10.1002/mana.201100326⟩
Journal articles

### Spectrum and multiplier ideals of arbitrary subvarieties

Annales de l'Institut Fourier, 2011, 61 (4), pp.1633-1653. ⟨10.5802/aif.2654⟩
Journal articles

### Quasi-Kähler groups, 3-manifold groups, and formality

Mathematische Zeitschrift, 2011, 268 (1), pp.169-186. ⟨10.1007/s00209-010-0664-y⟩
Journal articles

### Finite Galois covers, cohomology jump loci, formality properties, and multinets

Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2011, 10, pp.253-268
Journal articles

### Characteristic varieties and logarithmic differential 1-forms

Compositio Mathematica, 2010, 146, pp.129-144. ⟨10.1112/S0010437X09004461⟩
Journal articles

### Topology and geometry of cohomology jump loci

Duke Mathematical Journal, 2009, 148 (3), pp.405-457
Journal articles

### The Milnor fibre of the Pfaffian and the Hilbert scheme of four points on C^3

Mathematical Research Letters, 2009, 16, pp.1037-1055
Journal articles

### Polynomial interpolation in higher dimensions

Université Côte d'Azur Complex Systems, M. Argentina; S. Barland; P. Reynaud-Bouret; F. Cauneau; K. Guillouzouic; U. Kuhl; T. Passot; F. Planchon, Jan 2018, Nice, France. pp.1-7
Conference papers

### Cohomology of the Milnor fiber of a hyperplane arrangement with symmetry

Configuration Spaces, Geometry, Combinatorics and Topology, 2015, Cortona, Italy. pp.319-360, ⟨10.1007/978-3-319-31580-5_10⟩
Conference papers

### Monodromy of triple point line arrangements

Singularities in Geometry and Topology , 2011, Kagoshima, Japan
Conference papers

### Hodge-Deligne equivariant polynomials and monodromy of hyperplane arrangements

Configuration Spaces, Geometry, Combinatorics and Topology, 2011, Pisa, Italy. pp.231-253
Conference papers

### First Milnor cohomology of hyperplane arrangements

Topology of Algebraic Varieties, 2009, Bilbao, Spain. pp.279-292
Conference papers