On a conjecture of Lange

摘要: Let C be a projective smooth curve of genus g> 1. E vector bundle rank r on C. For each integer r' 0. The conjecture has recently been solved thanks to work Lange- Narasimhan, Lange-Brambila-Paz, Ballico and the authors. purpose this paper is give simpler proof result valid without further assumptions. method provides additional information geometry strata. We can prove that strata (which irreducible) contained in closure following one. also show unicity maximal subbundle when s\le r'(r-r')(g-1). Our methods used study twisted Brill-Noether loci new Hirschowitz Theorem about non-speciality tensor product generic bundles.