A Terracini Lemma for osculating spaces with applications to Veronese surfaces

Abstract

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.

References in corpus (2)

• On a Lemma of Bompiani
• Birational geometry of defective varieties