For the intermediate flag scheme D1⊂Hd⊂V over Z, the nonzero cohomology of the line bundle of weight (m,0,...,0,-n-d) is the kernel and cokernel of explicit multinomial coefficient matrices.
The Andrews Fest\-schrift (Maratea, 1998)
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On the cohomology of line bundles over certain flag schemes
For the intermediate flag scheme D1⊂Hd⊂V over Z, the nonzero cohomology of the line bundle of weight (m,0,...,0,-n-d) is the kernel and cokernel of explicit multinomial coefficient matrices.