Vanishing of Ext and Tor over some Cohen-Macaulay local rings
Huneke, Craig ; Şega, Liana M. ; Vraciu, Adela N.
Illinois J. Math., Tome 48 (2004) no. 3, p. 295-317 / Harvested from Project Euclid
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We discuss vanishing of cohomology of finite modules over Cohen-Macaulay local rings $(R, \mathfrak m)$. Special attention is given to the case when the modules are annihilated by $\mathfrak m^2$. (Note that if $\mathfrak m^3=0$, then we can assume the modules satisfy this condition.) In this case we obtain effective versions of conjectures of Auslander-Reiten and Tachikawa.
Publié le : 2004-01-15
Classification:  13D07,  13H10 
@article{1258136185,
     author = {Huneke, Craig and \c Sega, Liana M. and Vraciu, Adela N.},
     title = {Vanishing of Ext and Tor over some Cohen-Macaulay local rings},
     journal = {Illinois J. Math.},
     volume = {48},
     number = {3},
     year = {2004},
     pages = { 295-317},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258136185}
}

Huneke, Craig; Şega, Liana M.; Vraciu, Adela N. Vanishing of Ext and Tor over some Cohen-Macaulay local rings. Illinois J. Math., Tome 48 (2004) no. 3, pp.  295-317. http://gdmltest.u-ga.fr/item/1258136185/