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arXiv · 1705.08719

The Degree of the Tangent and Secant Variety to a Projective Surface

Andrea Cattaneo
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Abstract

In this paper we present a way of computing the degree of the secant (resp., tangent) variety of a smooth projective surface, under the assumption that the divisor giving the embedding in the projective space is $3$-very ample. This method exploits the link between these varieties and the Hilbert scheme $0$-dimensional subschemes of length $2$ of the surface.

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Andrea Cattaneo. 2019-06-06. The Degree of the Tangent and Secant Variety to a Projective Surface. https://arxiv.org/abs/1705.08719

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