论文标题
紧凑型复合歧管上的霍明型GL（2）几何体
Holomorphic GL(2)-geometry on compact complex manifolds
论文作者
论文摘要
我们研究了紧凑的复合歧管上的霍尔态GL（2）和SL（2）几何形状。我们表明，复合尺寸的紧凑型kähler歧管高于两个承认圆锥体GL（2）几何体的尺寸高于两个尺寸。我们将紧凑的Kähler-Einstein歧管和带有骨膜GL（2）地面的Fano歧管分类。在紧凑的Kähler-Einstein歧管中，我们证明唯一带有全体形态GL（2）几何的例子是被紧凑的复合物Tori（三维四维四维四维四维尺寸）所覆盖的示例，以及三维式谎言球覆盖的小球（Quadric的非紧凑型双）。
We study holomorphic GL(2) and SL(2) geometries on compact complex manifolds. We show that a compact Kähler manifold of complex even dimension higher than two admitting a holomorphic GL(2)-geometry is covered by a compact complex torus. We classify compact Kähler-Einstein manifolds and Fano manifolds bearing holomorphic GL(2)-geometries. Among the compact Kähler-Einstein manifolds we prove that the only examples bearing holomorphic GL(2)-geometry are those covered by compact complex tori, the three dimensional quadric and those covered by the three dimensional Lie ball (the non compact dual of the quadric).
