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

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

2006-09-14

arxiv.org/abs/math/0609422v1

Amer. J. Math. 130 (2008) 859-912

Mathematics

Algebraic Geometry

56 pages

Scientific paper

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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