2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75336In this paper, we study the relations between the log term of the Szegö kernel of the unit circle bundle of the dual line bundle of an ample line bundle over a compact Kählermanifold. We proved a local rigidity theorem. The result is related to the classical Ramadanov Conjecture.We corrected a typo in the title in this versionDifferential GeometryComplex Variablestext