On Freeness of Divisors on ℙ2
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Publication:2842686
DOI10.1080/00927872.2012.667466zbMath1301.13016arXiv1203.2046OpenAlexW2082932774MaRDI QIDQ2842686
Publication date: 16 August 2013
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.2046
Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Syzygies, resolutions, complexes and commutative rings (13D02) Cohen-Macaulay modules (13C14)
Related Items (12)
Jacobian syzygies, fitting ideals, and plane curves with maximal global Tjurina numbers ⋮ Construction of free curves by adding lines to a given curve ⋮ On the minimal value of global Tjurina numbers for line arrangements ⋮ Graded derivation modules and algebraic free divisors ⋮ Projective duality of arrangements with quadratic logarithmic vector fields ⋮ Homology of homogeneous divisors ⋮ Logarithmic derivations associated to line arrangements ⋮ On the geometry of real or complex supersolvable line arrangements ⋮ A family of irreducible free divisors in ℙ2 ⋮ Addition-deletion results for the minimal degree of a Jacobian syzygy of a union of two curves ⋮ A homological criterion for the containment between symbolic and ordinary powers of some ideals of points in \(\mathbb{P}^2\) ⋮ On the Jacobian ideal of an almost generic hyperplane arrangement
Cites Work
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- A rank two vector bundle associated to a three arrangement, and its Chern polynomial
- The Jacobian ideal of a hyperplane arrangement
- Das Lemma von Poincaré für holomorphe Differentialformen auf komplexen Räumen
- Freeness and multirestriction of hyperplane arrangements
- The depth of the Jacobian ring of a homogeneous polynomial in three variables
- ON THE FREENESS OF 3-ARRANGEMENTS
- Local complete intersections in $\mathbb {P}^2$ and Koszul syzygies
- The Aluffi algebra
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