On the Castelnuovo-Mumford regularity of curve arrangements

2024/01/26 by Alexandru Dimca, Dimca, Alexandru · 1 citation
Mathematics · #Commutative Algebra and Its Applications #Algebraic Geometry and Number Theory #Advanced Differential Equations and Dynamical Systems

paper · pdf · doi:10.48550/arxiv.2401.14959

Abstract

The Castelnuovo-Mumford regularity of the Jacobian algebra and of the graded module of derivations associated to a general curve arrangement in the complex projective plane are studied. The key result is an addition-deletion type result, similar to results obtained by H. Schenck, H. Terao, S. Tohaneanu and M. Yoshinaga, but in which no quasi homogeneity assumption is needed.

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• A minimal resolution for the Jacobian ideal of a generic curve arrangement

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