The Hesse pencil of plane cubic curves

Details The Hesse pencil of plane cubic curves The Hesse pencil of plane cubic curves

2006-11-19

arxiv.org/abs/math/0611590v3

Mathematics

Algebraic Geometry

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

Scientific paper

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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