Plus-one Generated and Next to Free Arrangements of Hyperplanes
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Publication:5068170
DOI10.1093/imrn/rnz099zbMath1495.32072arXiv1808.04697OpenAlexW2963925366WikidataQ127967770 ScholiaQ127967770MaRDI QIDQ5068170
Publication date: 5 April 2022
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.04697
Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Divisors, linear systems, invertible sheaves (14C20)
Related Items (10)
Logarithmic vector fields and freeness of divisors and arrangements: new perspectives and applications. Abstracts from the workshop held January 24--30, 2021 (online meeting) ⋮ Roots of the characteristic polynomials of hyperplane arrangements and their restrictions and localizations ⋮ Addition-deletion theorem for free hyperplane arrangements and combinatorics ⋮ Addition-deletion theorems for the Solomon-Terao polynomials and \(B\)-sequences of hyperplane arrangements ⋮ On 3-syzygy and unexpected plane curves ⋮ The Hessian polynomial and the Jacobian ideal of a reduced hypersurface in \(\mathbb{P}^n\) ⋮ On \(A_1^2\) restrictions of Weyl arrangements ⋮ Localization of plus-one generated arrangements ⋮ Plane curves with three syzygies, minimal Tjurina curves, and nearly cuspidal curves ⋮ Addition-deletion results for the minimal degree of a Jacobian syzygy of a union of two curves
Cites Work
- Divisionally free arrangements of hyperplanes
- The freeness of ideal subarrangements of Weyl arrangements
- Characterization of a free arrangement and conjecture of Edelman and Reiner
- Generalized exponents of a free arrangement of hyperplanes and Shepherd- Todd-Brieskorn formula
- Free and nearly free surfaces in \(\mathbb{P}^3\)
- Restrictions of free arrangements and the division theorem
- Free and nearly free curves vs. rational cuspidal plane curves
- Deletion theorem and combinatorics of hyperplane arrangements
- The characteristic polynomial of a multiarrangement
- Free arrangements and coefficients of characteristic polynomials
- Freeness of hyperplane arrangements and related topics
- A Counterexample to Orlik's Conjecture
- ON THE FREENESS OF 3-ARRANGEMENTS
- Roots of characteristic polynomials and intersection points of line arrangements
- Multiple addition, deletion and restriction theorems for hyperplane arrangements
- Derivation degree sequences of non-free arrangements
- The Euler multiplicity and addition-deletion theorems for multiarrangements
- Free filtrations of affine Weyl arrangements and the ideal-Shi arrangements
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