关于最高权型的平凡锥结构
On isotrivial cone structures of highest weight type
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中文总结 AI 辅助
该研究完成了满足Hwang-Li判据的旗流形分类，刻画了具内射高斯映射的旗流形，并分类了极小有理曲线芽，仅余两种例外情形。
中文摘要 AI 辅助
我们研究了Hwang-Li关于容许特征二次曲线联络的平凡锥结构的射影几何判据。我们对满足该判据的旗流形给出了完整分类，在此过程中刻画了具有内射高斯映射的旗流形。作为应用，我们对一般点处的VMRT同构于皮卡数为1的非齐次光滑射影对称 variety 的极小有理曲线芽进行了分类，除两种例外情形外。
英文摘要
We study the projective-geometric criterion of Hwang-Li for isotrivial cone structures admitting characteristic conic connections. We give a complete classification of flag varieties satisfying this criterion, and in the process characterize flag varieties with an injective Gaussian map. As an application, we classify germs of minimal rational curves whose VMRT at a general point is isomorphic to that of a non-homogeneous smooth projective symmetric variety of Picard number one, apart from two exceptional cases.
