论文标题
在$ \ mathbb p^3 $的Legendrian曲线上
On Legendrian curves in $\mathbb P^3$
论文作者
论文摘要
我们表明，如果光滑的投射曲线$ c \ subset \ mathbb p^3 $（在代数封闭的特征零字段上）是关于接触结构的传奇人物（众所周知，$ \ mathbb p^3 $上的触点结构是属于线性自动化的独特之处，而不是$ c $ c $ lineare flase flase linear linear forliane for linear for linear for linear fustractian for linear for linear fustractian fust linort in $ c'\ subset \ mathbb p^n $，$ n> 3 $，其中$ c'$不在超平面上），然后$ c $是扭曲的立方体或一条线。
We show that if a smooth projective curve $C\subset\mathbb P^3$ (over an algebraically closed field of characteristic zero) is Legendrian with respect to a contact structure (it is well known that a contact structure on $\mathbb P^3$ is unique up to a linear automorphism) and $C$ is linearly normal (i.e., not an isomorphic linear projection of a smooth curve $C'\subset\mathbb P^n$, $n>3$, where $C'$ does not lie in a hyperplane) then $C$ is a twisted cubic or a line.
