Abstract
We study curves immersed in R 3, with special interest in the description of their convex hull frontier structure from a global viewpoint. Genericity conditions are set for these curves by looking at the singularities of height functions on them. We define panel structures for convexly generic curves and work out numerical relations involving the number of tritangent support planes. As a consequence, a generic version of the 4-vertex theorem for convex curves in R 3 is obtained.
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Work partially supported by CAICYT, 1985–87, No. 120.
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Romero Fuster, M.C. Convexly generic curves in R 3 . Geom Dedicata 28, 7–29 (1988). https://doi.org/10.1007/BF00147797
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DOI: https://doi.org/10.1007/BF00147797