2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161400In this paper, we prove the generic overconvergence of relative rigid cohomology with coefficient, by using the semistable reduction conjecture for overconvergent $F$-isocrystals (which is recently shown by Kedlaya).46 pagesNumber TheoryAlgebraic Geometry14F30Relative log convergent cohomology and relative rigid cohomology IIItext