The enumeration of simultaneous higher-order contacts between plane curves

Details The enumeration of simultaneous higher-order contacts between plane curves The enumeration of simultaneous higher-order contacts between plane curves

1992-12-08

arxiv.org/abs/alg-geom/9212003v2

Mathematics

Algebraic Geometry

32 pages, AmS-TeX v2.1 (Revised statement and proof of one lemma; other minor changes.)

Scientific paper

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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