A Note on the Vanishing of Certain Local Cohomology Modules

Canadian mathematical bulletin

M. Hellus¹ 

[1] Fakultaet fuer Mathematik, Universitaet Regensburg, 93040 Regensburg, Germany

关键词: $A_p$ weights;    atomic decomposition;    Calderón reproducing formula;    weighted Hardy spaces;   

DOI  :  10.4153/CMB-2011-054-9

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

For a finite module $M$ over a local, equicharacteristic ring $(R,m)$, we show that the well-known formula $extrm{cd}(m,M)=dim M$ 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.

【 授权许可】

Unknown