On irregular links at infinity of algebraic plane curves

dc.creatorNeumann, Walter D.
dc.creatorVan Thanh, Le
dc.date1992-02-12
dc.date.accessioned2026-07-07T09:05:40Z
dc.date.available2026-07-07T09:05:40Z
dc.descriptionWe 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.
dc.description6 pages, Plain TeX, Dec 20, 1991
dc.identifierhttps://arxiv.org/abs/alg-geom/9202008
dc.identifierhttp://arxiv.org/abs/alg-geom/9202008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149754
dc.subjectAlgebraic Geometry
dc.titleOn irregular links at infinity of algebraic plane curves
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