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.
The degree of the tangent and secant variety to a projective surface / Cattaneo, A.. - In: ADVANCES IN GEOMETRY. - ISSN 1615-715X. - 0:0(2019). [10.1515/advgeom-2019-0015]
The degree of the tangent and secant variety to a projective surface
Cattaneo A.
2019-01-01
Abstract
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.File in questo prodotto:
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