2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77683We show that the holomorphic Morse inequalities proved by Tian and the author [TZ1, 2] are in effect equalities by refining the analytic arguments in [TZ1, 2].Only the abstract and the introduction are changed, in which the incorrect comments regarding Teleman's work are now correctedDifferential GeometryAlgebraic GeometrySymplectic Geometrytext