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Äussere Potenzen von Differentialmoduln Reduzierter Vollständiger Durchschnitte

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Abstract

Let R be an analytic algebra over the perfect field k. Assume that R is a reduced complete intersection. Then the i-th exterior powers of the KäHLER differential module of R over k are torsionfree (resp. reflexive) for i=1,...,p if and only if the codimension of the singular locus of R is greater than inf{p,dim R} (resp. inf{p+1,dim R}).

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Bei der vorliegenden Arbeit handelt es sich um einen Teil der Habilitationsschrift des Verfassers.

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Vetter, U. Äussere Potenzen von Differentialmoduln Reduzierter Vollständiger Durchschnitte. Manuscripta Math 2, 67–75 (1970). https://doi.org/10.1007/BF01168480

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  • DOI: https://doi.org/10.1007/BF01168480

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