2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104803In this paper we obtain the full asymptotic expansion of the Bergman-Hodge kernel associated to a high power of a holomorphic line bundle with non-degenerate curvature. We also explore some relations with asymptotic holomorphic sections on symplectic manifoldsComplex Variables32L05; 58A14; 32A25; 53D05Asymptotics for Bergman-Hodge kernels for high powers of complex line bundlestext