Cohomology of Line Bundles on Schubert Varieties-i
نویسندگان
چکیده
The aim of this paper is to begin a study of the cohomology modules H(X(w),Lλ) for non-dominant weights λ on Schubert varieties X(w) in G/B. The aim is to set-up a combinatorial dictionary for describing the cohomology modules and give criteria for their vanishing. Here Lλ denotes the line bundle on X(w) corresponding to the 1-dimensional representation of B given by the character λ.
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