Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-05-09T22:09:02.632Z Has data issue: false hasContentIssue false
  • English
  • Français

Local Intersection Cohomology of Baily–Borel Compactifications

Published online by Cambridge University Press:  04 December 2007

M. Goresky ,
G. Harder ,
R. MacPherson  and
A. Nair
M. Goresky
Affiliation:
School of Mathematics, Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540, U.S.A.
G. Harder
Affiliation:
Mathematisches Institut der Universität Bonn, Beringstr asse 1, Zimmer 15, 53115 Bonn, Germany
R. MacPherson
Affiliation:
School of Mathematics, Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540, U.S.A.
A. Nair
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, Bombay, India
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The local intersection cohomology of a point in the Baily–Borel compactification (of a Hermitian locally symmetric space) is shown to be canonically isomorphic to the weighted cohomology of a certain linear locally symmetric space (an arithmetic quotient of the associated self-adjoint homogeneous cone). Explicit computations are given for the symplectic group in four variables.

Keywords

weighted cohomologyarithmetic groupintersection cohomologyautomorphic formBaily–Borel
Type
Research Article
Information
Compositio Mathematica , Volume 134 , Issue 3 , December 2002 , pp. 243 - 268
Copyright
© 2002 Kluwer Academic Publishers