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Properties of a general element of the intersection of two Schubert cycles

Define $\tilde{a}$ by $\widetilde{a_i} = a_i+1$. Define also $\widetilde{b}$ by $\widetilde{b_{k-i}} = b_{k-i}+1$. Then it is clear that $\Sigma_{\widetilde{a}}$ is a strict Schubert sub-cycle of $\Si …
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