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Abstract

We calculate Bernstein-Sato b-functions for SLn -invariant sections of line bundles on SLn /B × SLn /B × Pn−1 whose zero-set is the complement of the open SLn -diagonal orbit. The proof uses a similar calculation by Kashiwara of the b-function for B − -semiinvariant sections of line bundles on SLn /B whose zero-set is the complement of the big Bruhat cell.

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