The Hesse pencil of plane cubic curves
Algebraic Geometry
2008-05-15 v3
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.
Cite
@article{arxiv.math/0611590,
title = {The Hesse pencil of plane cubic curves},
author = {Michela Artebani and Igor Dolgachev},
journal= {arXiv preprint arXiv:math/0611590},
year = {2008}
}
Comments
22 pages, 1 figure; essential revision to section 7, to appear on L'Enseignement Math\'ematique