Smooth projective varieties dominated by smooth quadric hypersurfaces in any characteristic
Smooth projective varieties dominated by smooth quadric hypersurfaces in any characteristic
复制标题
任意特征中由光滑二次超曲面主导的光滑射影簇
DOI：
10.1007/bf02571960
复制
发表时间：
1994
影响因子：
0.8
通讯作者：
E. Sato
中科院分区：
文献类型：
--
作者：
K. Cho;E. Sato
问题.设X是定义在复数域IE上的光滑射影簇.设f：G/P~ X是满射，其中G是单经典群，P是G的极大抛物子群.如果f是一个同构，则X同构于一个射影空间。
Problem. Let X be a smooth projective variety defined over the complex number field IE. Let f: G/P~ X be a surjective morphism where G is a simple classical group and P a maximal parabolic subgroup of G. Then unless f is an isomorphism, X is isomorphic to a projective space.