Mathematics – Algebraic Geometry
Scientific paper
1992-02-12
Mathematics
Algebraic Geometry
6 pages, Plain TeX, Dec 20, 1991
Scientific paper
We give two proofs of a conjecture of the first author (Inv. Math. 98, 1989) that a reduced algebraic plane curve is regular at infinity if and only if its link at infinity is a regular toral link. This conjecture has also been proved by Ha H.~V. using Lojasiewicz numbers at infinity. Our first proof uses the polar invariant and the second proof uses linear systems of plane curve singularities. The second approach (based on a paper in preparation) also proves a stronger conjecture (loc. cit.) describing topologically the regular link at infinity associated with an irregular link at infinity.
Neumann Walter D.
Thanh Le Van
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