On the osculatory behaviour of higher dimensional projective varieties
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We explore the geometry of the osculating spaces to projective varieties of arbitrary dimension. In particular, we classify varieties having very degenerate higher order osculating spaces and we determine mild conditions for the existence of inflectionary points.
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Ballico, E. (Edoardo) , 1955-; and Fontanari, Claudio. “On the osculatory behaviour of higher dimensional projective varieties”. Collectanea Mathematica, vol.VOL 55, no. 2, pp. 229-36, https://raco.cat/index.php/CollectaneaMathematica/article/view/56575.
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