Logarithmic vector fields and freeness of divisors and arrangements: new perspectives and applications. Abstracts from the workshop held January 24--30, 2021 (online meeting)
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Publication:2131198
DOI10.4171/OWR/2021/5zbMath1487.00025MaRDI QIDQ2131198
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Publication date: 25 April 2022
Published in: Oberwolfach Reports (Search for Journal in Brave)
Proceedings of conferences of miscellaneous specific interest (00B25) Proceedings, conferences, collections, etc. pertaining to algebraic geometry (14-06) Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Collections of abstracts of lectures (00B05) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Syzygies, resolutions, complexes and commutative rings (13D02) Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces (32-06) Configurations and arrangements of linear subspaces (14N20)
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Cites Work
- Homology and central series of groups
- Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
- Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe
- On the periods of certain rational integrals. I, II
- Les immeubles des groupes de tresses généralises
- Artin-Gruppen und Coxeter-Gruppen
- A class of geometric lattices based on finite groups
- Supersolvable lattices
- Characteristic polynomials of subspace arrangements and finite fields
- The pre-WDVV ring of physics and its topology
- Gorenstein liaison, complete intersection liaison invariants and unobstructedness
- The maximum likelihood degree of a very affine variety
- The Shi arrangements and the Bernoulli polynomials
- A Salvetti Complex for Toric Arrangements and its Fundamental Group
- Lattice Theory of the Poset of Regions
- Survey on the $D$-module $f^s$
- Feynman motives and deletion-contraction relations
- Quasi-invariants of complex reflection groups
- The Structure of an Even Liaison Class
- Line arrangements and configurations of points with an unexpected geometric property
- Critical Points and Resonance of Hyperplane Arrangements
- A catalogue of simplicial arrangements in the real projective plane
- Supersolvable reflection arrangements
- The Algebraic Geometry of Stresses in Frameworks
- Bounded Negativity and Arrangements of Lines
- Likelihood Geometry
- Generic Initial Ideals, Graded Betti Numbers, andk-Lefschetz Properties
- Homological Algebra on a Complete Intersection, with an Application to Group Representations
- Cohomology of Local Sheaves on Arrangement Lattices
- Intersection Theory of Moduli Space of Stable N-Pointed Curves of Genus Zero
- The First Two Obstructions to the Freeness of Arrangements
- Free and Locally Free Arrangements with a Given Intersection Lattice
- A Note on Discriminantal Arrangements
- Strata of discriminantal arrangements
- On the topology of the Milnor fibration of a hyperplane arrangement
- The Rigidity of Frameworks: Theory and Applications
- Bounded Negativity, Miyaoka—Sakai Inequality, and Elliptic Curve Configurations
- The Geometry of Syzygies
- ON THE FREENESS OF 3-ARRANGEMENTS
- Noncommutative resolutions of discriminants
- NONISOLATED SAITO SINGULARITIES
- Fundamental Groups of Real Arrangements and Torsion in the Lower Central Series Quotients
- On the Generation of Rank 3 Simple Matroids with an Application to Terao's Freeness Conjecture
- Negative Curves on Symmetric Blowups of the Projective Plane, Resurgences, and Waldschmidt Constants
- Schemes Supported on the Singular Locus of a Hyperplane Arrangement in ℙn
- Plus-one Generated and Next to Free Arrangements of Hyperplanes
- Chern–Schwartz–MacPherson cycles of matroids
- Combinatorially determined zeroes of Bernstein--Sato ideals for tame and free arrangements
- Bernstein–Sato varieties and annihilation of powers
- Orlik-Solomon type presentations for the cohomology algebra of toric arrangements
- Pappus's Theorem in Grassmannian Gr(3, ℂ^n)
- A Basis Construction for the Shi Arrangement of the TypeBℓorCℓ
- Grothendieck Classes and Chern Classes of Hyperplane Arrangements
- Finite-type invariants of 3-manifolds and the dimension subgroup problem
- Vector Bundles on the Punctured Spectrum of a Local Ring
- The Milnor fibration of a hyperplane arrangement: from modular resonance to algebraic monodromy
- Gorenstein-duality for one-dimensional almost complete intersections-with an application to non-isolated real singularities
- Extremal behavior in sectional matrices
- Syzygies of Jacobian ideals and defects of linear systems
- Quasi-Kähler Bestvina-Brady groups
- Multinets, parallel connections, and Milnor fibrations of arrangements
- Adjoint divisors and free divisors
- The module of logarithmic \(p\)-forms of a locally free arrangement
- Determinantal hypersurfaces.
- On the geometry of real or complex supersolvable line arrangements
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On \(p\)-almost direct products and residual properties of pure braid groups of nonorientable surfaces
- Non-recursive freeness and non-rigidity
- Hessian ideals of a homogeneous polynomial and generalized Tjurina algebras
- The freeness of ideal subarrangements of Weyl arrangements
- On Cohen-Macaulayness of algebras generated by generalized power sums. With an appendix by Misha Feigin
- Star configurations in \(\mathbb{P}^n\)
- Quillen homology for operads via Gröbner bases
- Quantum field theory over \(\mathbb F_1\)
- A tour of the weak and strong Lefschetz properties
- Modular decomposition of the Orlik-Terao algebra
- The Shi arrangement of the type \(D_{\ell}\)
- A geometric deletion-restriction formula
- Equivariant multiplicities of Coxeter arrangements and invariant bases
- The local cohomology of the Jacobian ring
- The Jacobian module, the Milnor fiber, and the \(D\)-module generated by \(f^s\)
- Divisorial cohomology vanishing on toric varieties
- Polyhedra dual to the Weyl chamber decomposition: a précis
- A formula for the characteristic polynomial of an arrangement
- The freeness of Shi-Catalan arrangements
- Characterization of a free arrangement and conjecture of Edelman and Reiner
- Simplicial arrangements with up to 27 lines
- On the singular structure of graph hypersurfaces
- Bernstein-Sato polynomials of hyperplane arrangements
- Faisceaux algébriques cohérents
- Higher order Jacobians, Hessians and Milnor algebras
- Period mapping associated to a primitive form
- A free resolution of the module of logarithmic forms of a generic arrangement
- On motives associated to graph polynomials
- Limits of Chow groups, and a new construction of Chern-Schwartz-MacPherson classes
- Liaison addition and the structure of a Gorenstein liaison class
- A new characterization for the \(m\)-quasiinvariants of \(S_n\) and explicit basis for two row hook shapes
- The cohomology ring of the real locus of the moduli space of stable curves of genus 0 with marked points
- On Hecke algebras associated with elliptic root systems and the double affine Hecke algebras.
- Extended affine root systems. I: Coxeter transformations
- Free arrangements of hyperplanes and supersolvable lattices
- The lower central series of a fiber-type arrangement
- Topology of the complement of real hyperplanes in \({\mathbb C}^ N\)
- A matroid on hypergraphs, with applications in scene analysis and geometry
- Invariant theory for generalized root systems
- Generalized exponents of a free arrangement of hyperplanes and Shepherd- Todd-Brieskorn formula
- Syzygies des variétés déterminantales
- Ideals generated by minors of a symmetric matrix
- The Lazarsfeld-Rao property on an arithmetically Gorenstein variety
- A generalized liaison addition
- Braided monoidal 2-categories and Manin-Schechtman higher braid groups
- Free arrangements and relation spaces
- Discriminantal arrangements, fiber polytopes and formality
- Extended affine root systems. III: Elliptic Weyl groups
- On free deformations of the braid arrangement
- Elementary modifications and line configurations in \(\mathbb P^2\)
- Hypersurface complements, Milnor fibers and higher homotopy groups of arrangements
- The largest intersection lattice of a discriminantal arrangement
- Applications of some properties of the canonical module in computational projective algebraic geometry
- Free and nearly free surfaces in \(\mathbb{P}^3\)
- A basis construction of the extended Catalan and Shi arrangements of the type \(A_{2}\)
- Discriminantal arrangement, \(3{\times}3\) minors of Plücker matrix and hypersurfaces in Grassmannian \(\mathrm{Gr}(3, n)\)
- Group actions on semimatroids
- Free and nearly free curves vs. rational cuspidal plane curves
- Feynman amplitudes, coaction principle, and cosmic Galois group
- Worpitzky partitions for root systems and characteristic quasi-polynomials
- Commutative rings of partial differential operators and Lie algebras
- Integrable connections related to Manin and Schechtman's higher braid groups
- Matroids, motives, and a conjecture of Kontsevich.
- Chow rings of toric varieties defined by atomic lattices
- Jumping coefficients of multiplier ideals
- Wonderful models of subspace arrangements
- Free arrangements and rhombic tilings
- Worpitzky-compatible subarrangements of braid arrangements and cocomparability graphs
- The homotopy type of elliptic arrangements
- The primitive derivation and discrete integrals
- Graph hypersurfaces with torus action and a conjecture of Aluffi
- Real and complex supersolvable line arrangements in the projective plane
- Lefschetz properties and hyperplane arrangements
- A McKay correspondence for reflection groups
- Free hyperplane arrangements over arbitrary fields
- Eulerian polynomials for subarrangements of Weyl arrangements
- Double coverings of arrangement complements and 2-torsion in Milnor fiber homology
- Matroid connectivity and singularities of configuration hypersurfaces
- On 3-syzygy and unexpected plane curves
- \(k\)-Lefschetz properties, sectional matrices and hyperplane arrangements
- Some theorems on actions of algebraic groups
- Combinatorial construction of logarithmic differential forms
- Lower central and derived series of semi-direct products, and applications to surface braid groups
- New characterizations of freeness for hyperplane arrangements
- On complex supersolvable line arrangements
- Two examples of toric arrangements
- Freeness for 13 lines arrangements is combinatorial
- Higher-order representation stability and ordered configuration spaces of manifolds
- Motives of graph hypersurfaces with torus operations
- Finite Weyl groupoids
- A duality approach to the symmetry of Bernstein-Sato polynomials of free divisors
- FI-modules and stability for representations of symmetric groups
- On the syzygies and Hodge theory of nodal hypersurfaces
- The Lefschetz properties
- Negative curves on algebraic surfaces
- Freeness of multi-reflection arrangements via primitive vector fields
- Supersolvable simplicial arrangements
- Hyperplane arrangements and Milnor fibrations
- Freeness of hyperplane arrangements and related topics
- Solving over-determined systems by the subresultant method (with an appendix by Marc Chardin)
