Abstract
For 3-codimensional, smooth subvarieties X of \({\mathbb{P}^{r}(\mathbb{C})}\) we prove a new Castelnuovo bound depending only on r and the degree of X.
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This work is within the framework of the national research project “Geometry on Algebraic Varieties” Cofin 2008 of MIUR.
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Alzati, A. A new Castelnuovo bound for codimension three subvarieties. Arch. Math. 98, 219–227 (2012). https://doi.org/10.1007/s00013-012-0360-8
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DOI: https://doi.org/10.1007/s00013-012-0360-8