On the Degree of Caustics by Reflection

DOI10.1080/00927872.2012.759956zbMath1300.14036arXiv1201.0621OpenAlexW1999204631MaRDI QIDQ5412088

Françoise Pène, Alfrederic Josse

Publication date: 25 April 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0621

zbMATH Keywords

intersection numbersHessiandegreecausticpolar

Mathematics Subject Classification ID

Plane and space curves (14H50) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Rational and birational maps (14E05) Projective techniques in algebraic geometry (14N05)

Related Items (7)

Catacaustics of a hypersurface in the Euclidean \(n\)-space ⋮ Construction of free curves by adding lines to a given curve ⋮ On caustics by reflection of algebraic surfaces ⋮ On the Halphen transform of algebraic space curves ⋮ The data singular and the data isotropic loci for affine cones ⋮ Fibers of Multi-Graded Rational Maps and Orthogonal Projection onto Rational Surfaces ⋮ The Euclidean distance degree of an algebraic variety

Cites Work

• On caustics by reflexion
• Focal loci of algebraic hypersurfaces: A general theory
• Focal loci of algebraic varieties i
• Plücker formulae for singular space curves
• On the class of caustics by reflection of planar curves
• SOURCE GENERICITY OF CAUSTICS BY REFLEXION IN THE PLANE
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