Generalized local cohomology and the canonical element conjecture |
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Authors: | Bart Snapp |
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Affiliation: | Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA |
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Abstract: | We study a generalization of the Canonical Element Conjecture. In particular we show that given a nonregular local ring (A,m) and an i>0, there exist finitely generated A-modules M such that the canonical map from to is nonzero. Moreover, we show that even when M has an infinite projective dimension and i>dim(A), studying these maps sheds light on the Canonical Element Conjecture. |
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Keywords: | 13D22 13D45 |
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