Cohomology of line bundles on Schubert varieties in the Kac–Moody setting

In this paper, we describe the indices of the top and the least non-vanishing cohomologies Hi(X(w),Lλ) of line bundles on Schubert varieties X(w) given by non-dominant weights in the Kac–Moody setting. We also prove some surjectivity results for maps between some cohomology modules.