Numerical invariants and moduli spaces for line arrangements

2016/09/21 by Dimca, Alexandru, Ibadula, Denis, Macinic, Daniela Anca · 2 citations
#Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1609.06551

Abstract

Using several numerical invariants, we study a partition of the space of line arrangements in the complex projective plane, given by the intersection lattice types. We offer also a new characterization of the free plane curves using the Castelnuovo-Mumford regularity of the associated Milnor/Jacobian algebra.

Cited by

• Addition-deletion for conic-line arrangements with split Chern polynomial
• Free line arrangements with low maximal multiplicity

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