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arxiv: 1609.06551 · v3 · pith:FE67DHPRnew · submitted 2016-09-21 · 🧮 math.AG · math.AC

Numerical invariants and moduli spaces for line arrangements

classification 🧮 math.AG math.AC
keywords arrangementsinvariantslinenumericalplanealgebraassociatedcastelnuovo-mumford
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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.

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