The Hesse pencil of plane cubic curves

Abstract

This is a survey of the classical geometry of the Hesse configuration of 12 lines in the projective plane related to inflection points of a plane cubic curve. We also study two K3 surfaces with Picard number 20 which arise naturally in connection with the configuration.

22 pages, 1 figure; essential revision to section 7, to appear on L'Enseignement Mathématique

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