Varieties with one apparent double point

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The number of apparent double points of a smooth, irreducible projective variety $X$ of dimension $n$ in $\Proj^{2n+1}$ is the number of secant lines to $X$ passing through the general point of $\Proj^{2n+1}$. This classical notion dates back to Severi. In the present paper we classify smooth varieties of dimension at most three having one apparent double point. The techniques developed for this purpose allow to treat a wider class of projective varieties.
31 pages, AMSLaTeX2e, to appear in J.A.G

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Algebraic Geometry, Primary 14N05 ; Secondary 14J30, 14M20

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http://salesiana.dossiersoluciones.com/handle/123456789/65132

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210008
 http://arxiv.org/abs/math/0210008

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arXiv