Open AccessThe Hesse pencil of plane cubic curves
Author(s) -
Michela Artebani,
Igor Dolgachev
Publication year - 2009
Publication title -
l’enseignement mathématique
Language(s) - English
Resource type - Journals
eISSN - 2309-4672
pISSN - 0013-8584
DOI - 10.4171/lem/55-3-3
Subject(s) - pencil (optics) , plane curve , cubic form , plane (geometry) , cubic crystal system , geometry , mathematics , physics , condensed matter physics , optics
This is a survey of the classical geometry of the Hesse configuration of 12lines in the projective plane related to inflection points of a plane cubiccurve. We also study two K3 surfaces with Picard number 20 which arisenaturally in connection with the configuration.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom