A higher-order contact formula for plane curves

DOI10.1080/00927879108824150zbMath0732.14025OpenAlexW2059860377MaRDI QIDQ3358870

Gary Kennedy, Susan Jane Colley

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/00927879108824150

zbMATH Keywords

intersection ringsnumber of contactstower of \({\mathbb{P}}^ 1\)-bundles

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Families, moduli of curves (algebraic) (14H10) Enumerative problems (combinatorial problems) in algebraic geometry (14N10)

Related Items (8)

Global moduli for contacts ⋮ A Semple-type approach to a problem of Goursat: the multi-flag case ⋮ Degree of the divisor of solutions of a differential equation on a projective variety ⋮ Order of Tangency Between Manifolds ⋮ Sixty-Four Curves of Degree Six ⋮ Cartan prolongation of a family of curves acquiring a node ⋮ The enumeration of simultaneous higher-order contacts between plane curves ⋮ These are the differentials of order 𝑛

Cites Work

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• Enumerative geometry of triangles, II
• Enumerati ve geometry of triangles, 111
• Secant Bundles on Symmetric Products
• Some Investigations in the Geometry of Curve and Surface Elements

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