A higher-order contract formula for plane curves

Abstract

We drive an intersection-theoretic formula for the number of nth-order contacts between a given (n-1)-parameter family of plane curves and a gerenal specified curve. This is accomplished through the use of a tower of P 1-budles first introduced by Semple in [Se]. These bundles may be seen to parameterize nth-order curvilinear contact at a point in a natural way.

Publisher

Taylor & Francis

Publication Date

1-1-1991

Publication Title

Communications in Algebra

Department

Mathematics

Document Type

Article

DOI

https://dx.doi.org/10.1080/00927879108824150

Language

English

Format

text

Link to Full Text

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