13 citations · 34 across the 12 of their papers we have counts for
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math.AG2009★ 1 cited
Homomorphisms between Kaehler groups
Donu Arapura
This is partly a survey and partly a research article. Some known results and open problems about Kaehler groups (fundamental groups of compact Kaehler manifolds) are discussed. A…
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★ 5 cited
The Hodge theoretic fundamental group and its cohomology
Donu Arapura
In this paper, we explore a notion of nonabelian Hodge structure on the fundamental group of an algebraic variety. This is approach is compared to some alternative approaches due t…