Topological equivalence of complex polynomials

dc.creatorBodin, Arnaud
dc.creatorTibar, Mihai
dc.date2003-09-19
dc.date2005-03-14
dc.date.accessioned2026-07-07T06:22:52Z
dc.date.available2026-07-07T06:22:52Z
dc.descriptionThe following numerical control over the topological equivalence is proved: two complex polynomials in $n\not= 3$ variables and with isolated singularities are topologically equivalent if one deforms into the other by a continuous family of polynomial functions $f_s \colon \mathbb{C}^n \to \mathbb{C}$ with isolated singularities such that the degree, the number of vanishing cycles and the number of atypical values are constant in the family.
dc.description14 pages, revised text for final version
dc.identifierhttps://arxiv.org/abs/math/0309316
dc.identifierhttp://arxiv.org/abs/math/0309316
dc.identifierAdv. Math. 199 (2006), no.1, 136-150.
dc.identifierdoi:10.1016/j.aim.2005.03.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96045
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.titleTopological equivalence of complex polynomials
dc.typetext

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