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arXiv · alg-geom/9212003

The enumeration of simultaneous higher-order contacts between plane curves

Susan Jane Colley·Gary Kennedy
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Abstract

Using the Semple bundle construction, we derive an intersection-theoretic formula for the number of simultaneous contacts of specified orders between members of a generic family of degree $d$ plane curves and finitely many fixed curves. The contacts counted by the formula occur at nonsingular points of both the members of the family and the fixed curves.

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Susan Jane Colley, Gary Kennedy. 1993-06-30. The enumeration of simultaneous higher-order contacts between plane curves. https://arxiv.org/abs/alg-geom/9212003

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