On the tangentially degenerate curves
On the tangentially degenerate curves
复制标题
关于切向简并曲线
DOI：
10.1112/jlms/s2-33.3.430
复制
发表时间：
1986
影响因子：
1.2
通讯作者：
Hajime Kaji
中科院分区：
文献类型：
--
作者：
Hajime Kaji
若X在一般点P处的切线与X在非P点处的切线再次相交，则称X是切退化的.本文证明了若X在特征零点切退化，则X在一定的奇点条件下包含在2-平面中.我们还研究了E. Esteves和M. Homma在正特征的情况下，并提出了一个猜想，我们的调查导致。
A projective curve X in ℙN is said to be tangentially degenerate if a tangent line to X at a general point P meets X again at a point other than P. In this article, we prove that if X is tangentially degenerate in characteristic zero, then X is contained in a 2-plane under a certain condition on singularities of X. We also investigate a counter-example of E. Esteves and M. Homma in positive characteristic case, and present a conjecture that our investigation leads to.