Search

Let L, L' be two line bundles on I C i , let 0 -> L -> F -> L' -> 0 be a short exact sequence associated to HT ht <= dim Z (P) - 1. So M b b O SB C ' b sb and, since HT ht we conclude that M b b. But now h 0 (C ' b,M b) >= 2, h 0 (C ' v, b) = 0 and h 0 (C ' b, M b) = h 0 (C ' b, b) = 0 leads to a contradiction. [Extracted from the article]