On the canonical element conjecture
Sankar P. Dutta
Trans. Amer. Math. Soc. 299 (1987), 803-811
Primary 13H10; Secondary 13D99
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Abstract: The canonical element conjecture is proved in the following two cases: (i) depth , is decomposable; (ii) depth , is cyclic.
The equivalence of the C.E.C. and the improved new intersection theorem is also established.
- M. Hochster, Canonical elements in local cohomology modules and the direct summand conjecture, J. Algebra 84 (1983), 503-553. MR 723406 (85j:13021)
- P. Roberts, The equivalence of two forms of the canonical element conjecture, preprint.
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