Archiv der Mathematik

, Volume 77, Issue 3, pp 215–221 | Cite as

Semi-stability and base change

  • U. T. Hartl


Let X and Y be regular strictly semi-stable varieties over a discrete valuation ring R and let \( R \subseteqq {\widetilde {R}} \) be a finite ramified extension of discrete valuation rings. We explicitly give desingularization procedures for the base change \( X \times _R {\widetilde {R}} \) and for the product \( X \times _R Y \).


Base Change Valuation Ring Discrete Valuation Ring Ramify Extension Desingularization Procedure 


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Copyright information

© Birkhäuser Verlag, Basel 2001

Authors and Affiliations

  • U. T. Hartl
    • 1
  1. 1.Abteilung Reine Mathematik, Universität Ulm, D-89069 UlmGermany

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