2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75276The Hilbert functions and the regularity of the graded components of local cohomology of a bigraded algebra are considered. Explicit bounds for these invariants are obtained for bigraded hypersurface rings.Commutative Algebra13D45, 13D40, 13D02, 13P10text