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arXiv · 2111.02669

The equivalence of Friedlander-Mazur and standard conjectures for threefolds

Jin Cao·Wenchuan Hu
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Abstract

We show that the Friedlander-Mazur conjecture holds for a complex smooth projective variety X of dimension three implies the standard conjectures hold for X. This together with a result of Friedlander yields the equivalence of the two conjectures in dimension three. From this we provide some new examples whose standard conjectures hold.

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Jin Cao, Wenchuan Hu. 2021-11-04. The equivalence of Friedlander-Mazur and standard conjectures for threefolds. https://arxiv.org/abs/2111.02669

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