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Mar 7, 2016 at 12:34 comment added Allen Knutson By flatness, $\deg(B_1\cap B_2) = \deg(\widetilde{B_1\cap B_2)}$. Then use Lemma 1.7.5 of my paper with Ezra Miller on Schubert polynomials. arxiv.org/pdf/math/0110058.pdf
Mar 7, 2016 at 4:44 comment added Qiao Thanks! This sounds very nice. Why is it true? Is the proof/reasoning written somewhere? In my case, it is hard for me to figure out the degree of the projective embedding, but maybe I can find some other equivalent conditions...
Mar 5, 2016 at 17:25 vote accept Qiao
Mar 3, 2016 at 19:48 history answered Allen Knutson CC BY-SA 3.0