On two conjectures concerning convex curves

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We 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.
AMSTEX, 15 pages, 3 eps pictures. to appear in Int. J. Math

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Algebraic Geometry, 53A04

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http://salesiana.dossiersoluciones.com/handle/123456789/95333

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0208218
 http://arxiv.org/abs/math/0208218

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arXiv