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Published online: 2009-12-31
The Hesse pencil of plane cubic curvesMichela Artebani and Igor V. Dolgachev (1) Universidad de Concepción, Chile
(2) University of Michigan, Ann Arbor, United States
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 $K3$ surfaces with Picard number 20 which arise naturally in connection with this configuration.
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Artebani Michela, Dolgachev Igor: The Hesse pencil of plane cubic curves. Enseign. Math. 55 (2009), 235-273. doi: 10.4171/LEM/55-3-3