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arXiv · 2306.10242

Diagrams for varieties of minimal rational tangents on the wonderful symmetric varieties

Shin-young Kim
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Abstract

We describe varieties of minimal rational tangents on the wonderful symmetric varieties by marked Dynkin diagrams. An irreducible component of a variety of minimal rational tangents is a rational homogeneous space, and hence, we have a corresponding marked Dynkin diagram expression. On the other hand, we have marked Dynkin diagrams from the marked Kac diagram of a irreducible symmetric space by marking adjacent nodes to the marked node. We note that the above two diagrams coincide when the restricted root system is not of type A.

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Shin-young Kim. 2023-06-17. Diagrams for varieties of minimal rational tangents on the wonderful symmetric varieties. https://arxiv.org/abs/2306.10242

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