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math.AG2009★ 13 cited
The combinatorial part of the cohomology of a singular variety
Donu Arapura, Parsa Bakhtary, Jarosław Włodarczyk
We study the first step of the weight filtration on the cohomology of a proper complex algebraic variety, which we call the combinatorial part. We obtain a natural upper bound on i…
math.AG2009
Splitting criteria for vector bundles on higher dimensional varieties
Parsa Bakhtary
We generalize Horrocks' criterion for the splitting of vector bundles on projective space. We establish an analogous splitting criterion for vector bundles on a class of smooth com…