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

José Carlos Sierra

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arXiv · math/0701138

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

José Carlos Sierra

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Abstract

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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BibTeX RIS

José Carlos Sierra. 2008-06-23. Smooth $n$-dimensional subvarieties of ${\mathbb P}^{2n-1}$ containing a family of very degenerate divisors. https://arxiv.org/abs/math/0701138

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