This is a survey of the classical geometry of the Hesse configuration of 12 lines in the projective plane with relation to the inflection points of a plane cubic curve. We also study two surfaces with Picard number 20 which arise naturally in connection with this configuration.
Cite this article
Michela Artebani, Igor V. Dolgachev, The Hesse pencil of plane cubic curves. Enseign. Math. 55 (2009), no. 3, pp. 235–273DOI 10.4171/LEM/55-3-3