论文标题
双开cayley Grassmannian
The double Cayley Grassmannian
论文作者
论文摘要
我们通过用旋转的旋转旋转品种上的矢量捆来描述，我们研究了压实异常复杂谎言组G2的PICARD的光滑射击对称品种（14）。我们称其为双Cayley Grassmannian，因为它非常明显地表现出与Cayley Grassmannian（G2型的另一种对称品种）非常相似的特性，但在某些意义上是两倍。我们推断出所有平滑的Picard of Picard的射击对称品种都是无限的僵化。
We study the smooth projective symmetric variety of Picard number one that compactifies the exceptional complex Lie group G2, by describing it in terms of vector bundles on the spinor variety of Spin(14). We call it the double Cayley Grassmannian because quite remarkably, it exhibits very similar properties to those of the Cayley Grassmannian (the other symmetric variety of type G2), but doubled in the certain sense. We deduce among other things that all smooth projective symmetric varieties of Picard number one are infinitesimally rigid.
