Semi-stability and base change | Zendy

Urs Hartl | Zendy

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Semi-stability and base change

Author(s) -

Urs Hartl

Publication year - 2001

Publication title -

archiv der mathematik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.577

H-Index - 43

eISSN - 1420-8938

pISSN - 0003-889X

DOI - 10.1007/pl00000484

Subject(s) - mathematics , discrete valuation , base change , valuation (finance) , discrete valuation ring , valuation ring , base (topology) , extension (predicate logic) , stability (learning theory) , pure mathematics , discrete mathematics , combinatorics , mathematical analysis , field (mathematics) , business , finance , computer science , programming language , machine learning

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 $.

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