2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166300We prove a sharp Ohsawa-Takegoshi-Manivel type extension result for twisted holomorphic sections of singular hermitian line bundles over almost Stein manifolds. We establish as corollaries some extension results for pluri-twisted holomorphic sections of singular hermitian line bundles over projective manifolds.Improvements of the results in section 4. Rest unchangedComplex Variables53C25, 32J15text