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Algebraic cycles on fiber bundles of Leray-Hirsch type

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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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math.AG 1

years

2024 1

verdicts

REJECT 1

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  • A configuration space model for algebraic function spaces math.AG · 2024-12-30 · reject · none · ref 24 · internal anchor

    A conditional spectral sequence model for algebraic morphism spaces is announced, with an inconsistent stable-range formula and an off-by-two conflict between theorem and proof.