Geodesic
A Note on the Vanishing of Certain Local Cohomology Modules
Canadian mathematical bulletin, Tome 55 (2012) no. 2, pp. 315-318

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DOI

For a finite module $M$ over a local, equicharacteristic ring $(R,\,m)$ , we show that the well-known formula $\text{cd(m,}\,M)\,=\,\dim\,M$ becomes trivial if ones uses Matlis duals of local cohomology modules together with spectral sequences. We also prove a new ring-theoretic vanishing criterion for local cohomology modules.
DOI : 10.4153/CMB-2011-054-9
Mots-clés : 13D45 
Hellus, M. A Note on the Vanishing of Certain Local Cohomology Modules. Canadian mathematical bulletin, Tome 55 (2012) no. 2, pp. 315-318. doi: 10.4153/CMB-2011-054-9
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     author = {Hellus, M.},
     title = {A {Note} on the {Vanishing} of {Certain} {Local} {Cohomology} {Modules}},
     journal = {Canadian mathematical bulletin},
     pages = {315--318},
     year = {2012},
     volume = {55},
     number = {2},
     doi = {10.4153/CMB-2011-054-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-054-9/}
}
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