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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

On the canonical element conjecture


Author: Sankar P. Dutta
Journal: Trans. Amer. Math. Soc. 299 (1987), 803-811
MSC: Primary 13H10; Secondary 13D99
DOI: https://doi.org/10.1090/S0002-9947-1987-0869233-2
MathSciNet review: 869233
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Abstract: The canonical element conjecture is proved in the following two cases: (i) depth $ A = \dim A - 1$, $ H_m^{n - 1}(A)$ is decomposable; (ii) depth $ A = \dim A - 1$, $ H_m^{n - 1}{(A)^ \vee }$ is cyclic.

The equivalence of the C.E.C. and the improved new intersection theorem is also established.


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DOI: https://doi.org/10.1090/S0002-9947-1987-0869233-2
Article copyright: © Copyright 1987 American Mathematical Society

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