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arXiv · 1903.06335

Orthogonal multiple flag varieties of finite type II : even degree case

Toshihiko Matsuki
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Abstract

Let $G$ be the split orthogonal group of degree $2n$ over an arbitrary infinite field $\mathbb{F}$ of chararcteristic not $2$. In this paper, we classify multiple flag varieties $G/P_1\times\cdots\times G/P_k$ of finite type. Here a multiple flag variety is said to be of finite type if it has a finite number of $G$-orbits with respect to the diagonal action of $G$.

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Toshihiko Matsuki. 2019-03-15. Orthogonal multiple flag varieties of finite type II : even degree case. https://arxiv.org/abs/1903.06335

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