On First Order Congruences of Lines in $\mathbb{P}^4$ with Generically Non-reduced Fundamental Surface
Algebraic Geometry
2007-05-23 v3
Abstract
In this article we obtain a complete description of the congruences of lines in of order one provided that the fundamental surface is non-reduced (and possibly reducible) at one of its generic points, and their classification under the hypothesis that (F)_{\red} is smooth.
Keywords
Cite
@article{arxiv.math/0407341,
title = {On First Order Congruences of Lines in $\mathbb{P}^4$ with Generically Non-reduced Fundamental Surface},
author = {Pietro De Poi},
journal= {arXiv preprint arXiv:math/0407341},
year = {2007}
}
Comments
10 pages, AMS-LaTeX; to appear in ``The Asian Journal of Mathematics''