Members & Guests

Prof. Dr. Petra Schwer

Project leader


Otto von Guericke Universität Magdeburg

E-mail: petra.schwer(at)ovgu.de
Homepage: http://www.math.kit.edu/iag2/~schwer/

Publications within SPP2026

We prove an affine analog of Scharlau's reduction theorem for spherical buildings. To be a bit more precise let X be a euclidean building with spherical building ∂X at infinity. Then there exists a euclidean building X¯ such that X splits as a product of X¯ with some euclidean k-space such that ∂X¯ is the thick reduction of ∂X in the sense of Scharlau. \newline In addition we prove a converse statement saying that an embedding of a thick spherical building at infinity extends to an embedding of the euclidean building having the extended spherical building as its boundary.

 

Related project(s):
20Compactifications and Local-to-Global Structure for Bruhat-Tits Buildings

  • 1

This website uses cookies

By using this page, browser cookies are set. Read more