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The equivalence of Friedlander-Mazur and standard conjectures for threefolds
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math.AG
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conjecturesstandarddimensionequivalencefriedlander-mazurholdthreecomplex
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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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