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The Hesse pencil of plane cubic curves

Michela Artebani·Igor Dolgachev
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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.

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Michela Artebani, Igor Dolgachev. 2008-05-15. The Hesse pencil of plane cubic curves. https://arxiv.org/abs/math/0611590

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