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math.AG2005★ 1 cited
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★ 1 cited
The Hodge conjecture for rationally connected fivefolds
Donu Arapura
The Hodge conjecture is shown to hold for rationally connected fivefolds, or more generally for fivefolds for which the base of the maximal rationally connected fibration is at mos…
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…