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On cubic-line arrangements with simple singularities

Author:
Przemysław Talar
Keyword:
Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Combinatorics (math.CO)
journal:
--
date:
2023-05-01 16:00:00
Abstract
In the present note we study combinatorial and algebraic properties of cubic-line arrangements in the complex projective plane admitting nodes, ordinary triple and $A_{5}$ singular points. We deliver a Hirzebruch-type inequality for such arrangement and we study the freeness of such arrangements providing an almost complete classification.
PDF: On cubic-line arrangements with simple singularities.pdf
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