2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114309We establish an asymptotic expansion for families of Bergman kernels. The key idea is to use the superconnection as in the local family index theorem.C. R. Math. Acad. Sci. ParisDifferential GeometrySuperconnection and family Bergman kernelstext