Diffeomorphisms, Isotopoies, and Braid Monodromy Factorizations of Plane Cuspidal Curves

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dc.creatorKharlamov, V.
dc.creatorKulikov, Vik. S.
dc.date2001-04-02
dc.date2001-05-22
dc.date.accessioned2026-07-07T04:40:56Z
dc.date.available2026-07-07T04:40:56Z
dc.descriptionWe prove that there is an infinite sequence of pairs of plane cuspidal curves $C_{m,1}$ and $C_{m,2}$, such that the pairs $(\Bbb CP^2, C_{m,1})$ and $(\Bbb CP^2, C_{m,2})$ are diffeomorphic, but $C_{m,1}$ and $C_{m,2}$ have non-equivalent braid monodromy factorizations. These curves give rise to the negative solutions of "Dif=Def" and "Dif=Iso" problems for plane irreducible cuspidal curves. In our examples, $C_{m,1}$ and $C_{m,2}$ are complex conjugated.
dc.descriptionPrincipal changement concerns the calculation of the number of double points and cups
dc.identifierhttps://arxiv.org/abs/math/0104021
dc.identifierhttp://arxiv.org/abs/math/0104021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61210
dc.subjectAlgebraic Geometry
dc.subject14H10, 14H50, 32G10, 53C24, 14P99
dc.titleDiffeomorphisms, Isotopoies, and Braid Monodromy Factorizations of Plane Cuspidal Curves
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