Abstract
The symmetric algebra of an ideal I may be compared to the Rees algebra via the canonical epimorphism α:Sym(I)→R(I). A necessary and sufficient criterion is given for a to be an isomorphism, and sequential conditions on the symmetric algebra are studied. Some applications are given to Proj α:ProjR(I)→Pro'j Sym(I) and to the theory of approximation complexes.
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The material presented in this paper constitutes part of the author's thesis submitted to Universität Essen
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Kühl, M. On the symmetric algebra of an ideal. Manuscripta Math 37, 49–60 (1982). https://doi.org/10.1007/BF01239944
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DOI: https://doi.org/10.1007/BF01239944