Work

A complex associated to a family of ideals and applications to subspace arrangements

Year: 2026

Type: preprint

Abstract: We reprove and generalize a result of Derksen describing the Hilbert polynomial of the vanishing ideal of a transversal subspace arrangement in projective space. When the subspaces have all codimension 2, we describe explicitly the local cohomology modules of the corresponding defining ideal. This is achieved via a complex naturally associated to the subspace arrangement, whose basic properties are also investigated.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.13450

Authors: Conca, Aldo, Tsakiris, Manolis C.

Institution: University of Genoa

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Ministero dell’Istruzione, dell’Università e della Ricerca, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni

Awards: G480903921, G5622661325, G6600480486, G7596288774, G994356768

OpenAlex ID: W7221560806

Cites: 2

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Related to: 10