论文标题
同质等级的注释$ 2 $本地nilpotent派生$ k [x，y，z] $
A note on homogeneous rank $2$ locally nilpotent derivations on $k[X,Y,Z]$
论文作者
论文摘要
在本文中，我们表明，对于每个质数$ p $，任何不可约的本地nilpotent派生的排名$ 2 $ $ 2 $和$ p-2 $都是三角形的。此外，我们描述了不可还原的非三角形均质的本地nilpotent派生的结构$ 2 $ $ 2 $和$ pq-2 $，其中$ p，q $是质量数字。因此，我们对某些同质本地nilpotent派生的形象理想的发电机进行明确描述，等级$ 2 $。
In this article we show that for every prime number $p$, any irreducible homogeneous locally nilpotent derivations of rank $2$ and degree $p-2$ are triangularizable. Further, we describe the structure of irreducible non-triangularizable homogeneous locally nilpotent derivations of rank $2$ and degree $pq-2$, where $p,q$ are prime numbers. Consequently, we give explicit descriptions of the generators of the image ideals of certain homogeneous locally nilpotent derivations of rank $2$.
