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Compute the global sections of an ideal sheaf I on W' (in the resolution W'->W). The sections of I should be put into the SCS entries of the charts in the chartHistory global array which form the covering of W' (the final blowig up variety in a resoltuion computed by desing). The difference to `desing/gsec` is that this procedure does not push the I directly out onto W (via the MAP entries of the charts), but it traverses the resolution tree recursively and collecting the data from the charts accumulatively (using the LMAP entries).