On the irreducibility of secant cones, and an application to linear normality

Lopez, Angelo Felice; Ran, Ziv

Duke Math. J., Tome 120 (2003) no. 3, p. 389-401 / Harvested from Project Euclid

Résumé

Given a smooth subvariety of dimension greater than $(2/3)(r-1)$ in $\mathbb {P}\sp r$, we show that the double locus (upstairs) of its generic projection to $\mathbb {P}\sp {r-1}$ is irreducible. This implies a version of Zak's linear normality theorem.

Publié le : 2003-04-15
Classification: 14N05

@article{1085598400,
     author = {Lopez, Angelo Felice and Ran, Ziv},
     title = {On the irreducibility of secant cones, and an application to linear normality},
     journal = {Duke Math. J.},
     volume = {120},
     number = {3},
     year = {2003},
     pages = { 389-401},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1085598400}
}

Lopez, Angelo Felice; Ran, Ziv. On the irreducibility of secant cones, and an application to linear normality. Duke Math. J., Tome 120 (2003) no. 3, pp.  389-401. http://gdmltest.u-ga.fr/item/1085598400/