14 citations · 16 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
Regulators and characteristic classes of flat bundles
Johan Dupont, Richard Hain, Steven Zucker
This is a substantial revision of the older version of this paper. The main result of the old version (the equality, up to a factor of 2 of the Beilinson and Borel regulators) is n…