Smooth $n$-dimensional subvarieties of ${\mathbb P}^{2n-1}$ containing a family of very degenerate divisors

Details Smooth $n$-dimensional subvarieties of ${\mathbb P}^{2n-1}$ containing a family of very degenerate divisors Smooth $n$-dimensional subvarieties of ${\mathbb P}^{2n-1}$ containing a family of very degenerate divisors

2007-01-04

arxiv.org/abs/math/0701138v2

Mathematics

Algebraic Geometry

19 pages. Final version. To appear in International Journal of Mathematics

Scientific paper

A classification and a detailed geometric description are given for smooth
$n$-dimensional subvarieties $X\subset{\mathbb P}^{2n-1}$ containing a family
of effective divisors each of them spanning a linear ${\mathbb P}^n$ of
${\mathbb P}^{2n-1}$. Some results on multisecant lines to threefolds
$X\subset{\mathbb P}^5$ follow, as a byproduct.

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