A geometric perspective on plus-one generated arrangements of lines
Anca Macinic, Jean Vall\`es
TL;DR
This paper provides a geometric characterization of a special class of line arrangements called plus-one generated arrangements, offering new proofs and insights into their properties.
Contribution
It introduces a geometric perspective and new proofs for properties of plus-one generated line arrangements, especially those that are next-to-free.
Findings
Geometric characterization of plus-one generated arrangements
New proofs using associated line bundles
Insights into properties of next-to-free arrangements
Abstract
We give a geometric characterisation of plus-one generated projective line arrangements that are next-to-free. We present new succinct proofs, via associated line bundles, for some properties of plus-one generated projective line arrangements.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Point processes and geometric inequalities · Mathematics and Applications