A Terracini Lemma for osculating spaces with applications to Veronese surfaces

Details A Terracini Lemma for osculating spaces with applications to Veronese surfaces A Terracini Lemma for osculating spaces with applications to Veronese surfaces

2004-06-16

arxiv.org/abs/math/0406321v1

Mathematics

Algebraic Geometry

Scientific paper

Here we present a partial generalization to higher order osculating spaces of
the classical Lemma of Terracini on ordinary tangent spaces. As an application,
we investigate the secant varieties to the osculating varieties to the Veronese
embeddings of the projective plane.

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