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Algebraic cycles on fiber bundles of Leray-Hirsch type

Published 24 Jul 2019 in math.AG | (1907.10199v3)

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.

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