Derived equivalences of selfinjective algebras preserve singularities

• Andrzej Skowronski ^[1] ; Grzegorz Zwara ^[1]
  1. [1] Nicolaus Copernicus University

     Nicolaus Copernicus University

     Toruń, Polonia

     
• Localización: Manuscripta mathematica, ISSN 0025-2611, Nº 1, 2003, págs. 221-230
• Idioma: inglés
• DOI: 10.1007/s00229-003-0396-y
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove that the derived equivalences (more generally the stable equivalences of Morita type) of finite dimensional selfinjective algebras over algebraically closed fields preserve the types of singularities in the orbit closures of module varieties. As an application, we obtain that the orbit closures in the module varieties of the Brauer tree algebras are normal and Cohen-Macaulay.