On some operators acting on line arrangements and their dynamics

Author:

Xavier Roulleau

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Combinatorics (math.CO)

journal:

date:

2023-05-31 16:00:00

Abstract

We study some natural operators acting on configurations of points and lines in the plane and remark that many interesting configurations are fixed points for these operators. We review ancient and recent results on line or point arrangements though the realm of these operators. We study the first dynamical properties of the iteration of these operators on some line arrangements.

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