A quadratic mapping with invariant cubic curve

DOI10.1017/S0305004100057972zbMath0453.14005MaRDI QIDQ3900169

Roger Penrose, Cedric A. B. Smith

Publication date: 1981

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Cremona transformationmathematical geneticspencil of cubicsfield of elliptic functionsPascal configuration

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Rational and birational maps (14E05) Genetics and epigenetics (92D10) Low codimension problems in algebraic geometry (14M07) Configuration theorems in linear incidence geometry (51A20)

Related Items

Dynamics on blowups of the projective plane, Cremona transformations, surface automorphisms, and plain cubics. With an appendix by Igor Dolgachev, Re-factorising a QRT map

Cites Work

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• An Inequality Arising in Genetical Theory
• Jacobian Elliptic Functions^*