Some consequences of $\textrm {dim proj}\ \Omega (A)<\infty$
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- by Carol M. Knighten PDF
- Proc. Amer. Math. Soc. 28 (1971), 411-414 Request permission
Abstract:
Let $X$ be an affine variety over a field $k$ and $x$ a point on $X$. We are interested in relating the properties of $\Omega {(X)_x}$, the Kähler module of differentials of $x$, with geometric properties of $X$ at $x$. Lipman has given necessary and sufficient conditions for $\Omega {(X)_x}$ to be respectively torsion free and reflexive in the case where $X$ is locally a complete intersection at $x$. We give a generalization of these results for the case where the projective dimension (dim proj) of $\Omega {(X)_x}$ is finite.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 411-414
- MSC: Primary 13.60; Secondary 14.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0279087-7
- MathSciNet review: 0279087