Algebraic cycles on fiber bundles of Leray-Hirsch type

Abstract

We give a theorem of Leray-Hirsch type for Chow groups and use it to study the Hogde and Grothendieck's standard conjectures for algebraic fiber bundles of Leray-Hirsch type. Morevoer, the Hodge conjecture for product varieties will also be considered.

14 pages

References in corpus (3)

• Characteristic classes in the Chow ring
• The Generalized Hodge conjecture for 1-cycles and codimension two algebraic cycles
• Topological and Geometric filtration for products