The equivalence of Friedlander-Mazur and standard conjectures for threefolds

Published 4 Nov 2021 in math.AG | (2111.02669v1)

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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