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Coniveau and the Grothendieck group of varieties
Donu Arapura, Su-Jeong Kang
It is shown that if the generalized Hodge conjecture, or some weaker form of it, holds for a Calabi-Yau variety then it holds for any Calabi-Yau variety birationally equivalent to…
math.AG2005
Functoriality of the coniveau filtration
Donu Arapura, Su-Jeong Kang
There is a natural descending filtration on the singular cohomology of a complex smooth projective variety called the coniveau filtration. The generalized Hodge conjecture would im…