$\mathbb{P}^5$中具有3维平面曲线族的三维流形
alg-geom
2008-02-03 v1 代数几何
摘要
给出平滑三维流形中被3维平面曲线族覆盖的分类定理，其中曲线度数。证明对于此类三维流形，有两种可能情况：\item{(1)} 是包含在双曲面中的任意三维流形；\item{(2)} 且是Bordiga或Palatini滚轮。
引用
@article{arxiv.alg-geom/9604002,
title = {Threefolds in $\Bbb P^5$ with a 3-dimensional family of plane curves},
author = {Emilia Mezzetti and Dario Portelli},
journal= {arXiv preprint arXiv:alg-geom/9604002},
year = {2008}
}
备注
17 pages, to appear in Manuscripta Mathematica Plain TeX