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On the reductive Borel-Serre compactification, II: Excentric quotients and least common modifications

Steven Zucker
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Abstract

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 modification and use it to prove a conjecture of Goresky and Tai concerning canonical extensions of homogeneous vector bundles. In the process, we see that EBS(X) and TorE(X) are homotopy equivalent.

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Steven Zucker. 2006-09-14. On the reductive Borel-Serre compactification, II: Excentric quotients and least common modifications. https://arxiv.org/abs/math/0609422

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