Algebraic cycles on fiber bundles of Leray-Hirsch type

Lingxu Meng

Algebraic cycles on fiber bundles of Leray-Hirsch type

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arxiv 1907.10199 v3 pith:65FWHEOK submitted 2019-07-24 math.AG

Lingxu Meng This is my paper · ORCID

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keywords leray-hirschtypealgebraicbundlesfiberchowconjectureconjectures

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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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