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Topological and Geometric filtration for products

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arxiv 1901.06633 v2 pith:37MIZKLL submitted 2019-01-20 math.AG math.KT

classification math.AGmath.KT
keywords conjecturefriedlander-mazurholdsapplicationscertaincurvedimensionelliptic
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We show that the Friedlander-Mazur conjecture holds for the product of an elliptic curve with some smooth projective variety of dimension 3. Moreover, we show that the Friedlander-Mazur conjecture is stable under a surjective map. As applications, we show that the Friedlander-Mazur conjecture holds uniruled threefolds and unirational varieties up to certain range.

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