Simple tangential families and perestroikas of their envelopes

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dc.creatorCapitanio, Gianmarco
dc.date2004-09-06
dc.date.accessioned2026-07-07T05:11:50Z
dc.date.available2026-07-07T05:11:50Z
dc.descriptionTangential families are 1-parameter families of rays emanating tangentially from smooth curves. We classify tangential family germs up to Left-Right equivalence: we prove that there are two infinite series and four sporadic simple singularities of tangential family germs (in addition to two stable singularities). We give their normal forms and miniversal tangential deformations (i.e., deformations among tangential families), and we describe the corresponding envelope perestroikas of small codimension. We also discuss envelope singularities of non simple tangential families.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0409089
dc.identifierhttp://arxiv.org/abs/math/0409089
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72381
dc.subjectDifferential Geometry
dc.subject2000 MSC : 14B05, 14H15, 58K25, 58K40, 58K50
dc.titleSimple tangential families and perestroikas of their envelopes
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