Finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228128We obtain finiteness theorems for algebraic cycles of small codimension on quadric fibrations X over curves over perfect fields k. For example, if k is finitely generated over Q and the fibration has odd relative dimension at least 11, then CH^{i}(X) is finitely generated for i<=4.13 pagesNumber TheoryAlgebraic Geometry14C25, 14C15Finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curvestext