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math.AG2010★ 14 cited
Relative Artin motives and the reductive Borel-Serre compactification of a locally symmetric variety
Joseph Ayoub, Steven Zucker
We introduce the notion of Artin motives and cohomological motives over a scheme X. Given a cohomological motive M over X, we construct its punctual weight zero part as…
math.AG2007
On the reductive Borel-Serre compactification: -cohomology of arithmetic groups (for large )
Steven Zucker
The -cohomology of a locally symmetric variety is known to have the topological interpretation as the intersection homology of its Baily-Borel Satake compactification. In this…
math.AG2006
On the reductive Borel-Serre compactification, II: Excentric quotients and least common modifications
Steven Zucker
Let X be a locally symmetric variety. Let EBS(X) and TorE(X) denote its excentric Borel-Serre and excentric toroidal compactifications, resp. We determine their least common modifi…