On a generalization of Solomon-Terao formula for subspace arrangements

DOI10.1016/j.jalgebra.2020.05.011zbMath1445.14074arXiv1803.08672OpenAlexW3032781007MaRDI QIDQ2193203

Delphine Pol

Publication date: 25 August 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.08672

zbMATH Keywords

logarithmic residuesHilbert-Poincaré seriessubspace arrangementslogarithmic differential formsSolomon-Terao formula

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Configurations and arrangements of linear subspaces (14N20) Modules of differentials (13N05)

Uses Software

• SINGULAR

Cites Work

• A formula for the characteristic polynomial of an arrangement
• Reguläre Differentialformen
• Cousinkomplex und Nennersysteme
• Solomon-Terao algebra of hyperplane arrangements
• Combinatorics of certain abelian Lie group arrangements and chromatic quasi-polynomials
• Characteristic polynomials of subspace arrangements and finite fields
• Théorie des résidus de Leray et formes de Barlet sur une intersection complète singulière
• On the values of logarithmic residues along curves
• A residual duality over Gorenstein rings with application to logarithmic differential forms
• Characterizations of freeness for equidimensional subspaces
• Residues of Logarithmic Differential Forms in Complex Analysis and Geometry
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