Numerical invariants and moduli spaces for line arrangements
Algebraic Geometry
2017-12-05 v3 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.1609.06551,
title = {Numerical invariants and moduli spaces for line arrangements},
author = {Alexandru Dimca and Denis Ibadula and Daniela Anca Macinic},
journal= {arXiv preprint arXiv:1609.06551},
year = {2017}
}
Comments
v3: A new proof of a result due to Tohaneanu, giving the classification of line arrangements with a Jacobian syzygy of minimal degree 2 is given in Theorem 4.11. Some other minor changes