On two conjectures concerning convex curves

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dc.creatorSedykh, V.
dc.creatorShapiro, B.
dc.date2002-08-28
dc.date2005-10-03
dc.date.accessioned2026-07-07T06:20:28Z
dc.date.available2026-07-07T06:20:28Z
dc.descriptionWe recall two basic conjectures on the developables of convex projective curves, prove one of them and disprove the other in the firdt nontrivial case of curves in RP^3. Namely, we show that i) the tangent developable surface of any convex curve in RP^3 has 'degree' 4 and ii) construct an example of 4 tangent lines to a convex curve in RP^3 such that no real line intersects all four of them.
dc.descriptionAMSTEX, 15 pages, 3 eps pictures. to appear in Int. J. Math
dc.identifierhttps://arxiv.org/abs/math/0208218
dc.identifierhttp://arxiv.org/abs/math/0208218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95333
dc.subjectAlgebraic Geometry
dc.subject53A04
dc.titleOn two conjectures concerning convex curves
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