零次Del Pezzo曲面上的直线  

The Lines on the Del Pezzo Surface of Degree 0

作　　者：武杭杭 张加劲[1] WU Hanghang;ZHANG Jiajin(School of Mathematics,Sichuan University,Chengdu 610064,Sichuan)

机构地区：[1]四川大学数学学院,四川成都610064

出　　处：《四川师范大学学报（自然科学版）》2024年第5期708-710,共3页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金面上项目(11171258)。

摘　　要：9-n的del Pezzo曲面S和李代数E_(n)(0≤n≤8)密切相关.给出次数为0的del Pezzo曲面X_(9)上有无穷多条直线的一个证明,并证明仿射型Weyl群W(E_(8))可迁地作用在这些直线上.It is known that the del Pezzo surface S of degree 9-n is closely related to the Lie algebra E_(n),for 0≤n≤8.We investigate the property of the exceptional lines on a del Pezzo surface X_(9)of degree 0,and prove that there are infinitely many such lines.We also prove that the Weyl group W(E_(8))acts on these lines transitively.

关 键 词：del Pezzo曲面 直线 WEYL群 

分 类 号：O187.1[理学—数学]