Work

Suciu's Conjecture on hyperplane arrangements

Year: 2026

Type: preprint

Abstract: We prove that the resonance of any hyperplane arrangement is separable. Using the main result from arXiv:2512.10160 this proves Suciu's conjecture on the fundamental group of every hyperplane arrangement, in its most effective form.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.06683

Authors: Aprodu, Marian, Farkas, Gavril, Raicu, Claudiu, Suciu, Alexander I.

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, European Commission, Einstein Stiftung Berlin, NextGenerationEU

Awards: G1825008071, Homological Commutative Algebra and Symmetry

OpenAlex ID: W7220694171

Cites: 2

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Related to: 10