Line arrangements with only triple points

Marco Golla (Université de Nantes)

Monday 22nd April 16:00-17:00 Maths 311B

Abstract

Line arrangements are unions of lines in a (projective or affine) space over some field and they are studied from a combinatorial or algebro-geometrical standpoint. (Non-trivial) complex line arrangements always have at least a double or a triple point, a point where exactly two or three lines meet. Does there exist 13 lines in the complex projective plane that only meet at triple points? I will discuss some topological ideas around this question and higher-degree variants.

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