English

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

Algebraic Geometry 2009-02-08 v1

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.

Cite

@article{arxiv.math/0609422,
  title  = {On the reductive Borel-Serre compactification, II: Excentric quotients and least common modifications},
  author = {Steven Zucker},
  journal= {arXiv preprint arXiv:math/0609422},
  year   = {2009}
}

Comments

56 pages

R2 v1 2026-07-22T17:42:29.680Z