On the osculatory behaviour of higher dimensional projective varieties

2004/06/16 by Edoardo Ballico, Ballico, Edoardo, Claudio Fontanari +1
Mathematics · #14N05 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14N05

paper · pdf · doi:10.48550/arxiv.math/0406319

arxiv created 2004/06/16 · arxiv updated 2009/12/01

Abstract

Here 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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