Let $G$ be a reductive group over a field k (of characteristic zero) with parabolic subgroup $P$ and Borel $B \subset P$.
Is the natural projection $ \pi: G/B \rightarrow G/P $ of flag varieties then flat?
Let $G$ be a reductive group over a field k (of characteristic zero) with parabolic subgroup $P$ and Borel $B \subset P$.
Is the natural projection $ \pi: G/B \rightarrow G/P $ of flag varieties then flat?
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