• Medientyp: E-Book
  • Titel: Cocharacter-closure and spherical buildings
  • Beteiligte: Bate, Michael [Sonstige Person, Familie und Körperschaft]; Herpel, Sebastian [VerfasserIn]; Martin, Benjamin [VerfasserIn]; Röhrle, Gerhard [VerfasserIn]
  • Erschienen: Oberwolfach-Walke: Mathematisches Forschungsinstitut, 2015
  • Erschienen in: Oberwolfach preprints ; 2015,12
  • Umfang: Online-Ressource (18 S.)
  • Sprache: Englisch
  • DOI: 10.14760/OWP-2015-12
  • Identifikator:
  • Schlagwörter: Affine G-variety ; cocharacter-closed orbit ; rationality ; spherical building ; the Centre Conjecture
  • Entstehung:
  • Anmerkungen:
  • Beschreibung: Let k be a field, let G be a reductive k-group and V an affine k-variety on which G acts. In this note we continue our study of the notion of cocharacter-closed G(k)-orbits in V. In earlier work we used a rationality condition on the point stabilizer of a G-orbit to prove Galois ascent/descent and Levi ascent/descent results concerning cocharacter-closure for the corresponing G8k)-orbit in V. In the present paper we employ building-theoric techniques to derive analogous results.
  • Zugangsstatus: Freier Zugang