Local cohomology and pure morphisms
Singh, Anurag K. ; Walther, Uli
Illinois J. Math., Tome 51 (2007) no. 3, p. 287-298 / Harvested from Project Euclid
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We study a question raised by Eisenbud, Mustaţa, and Stillman regarding the injectivity of natural maps from $\Ext$ modules to local cohomology modules. We obtain some positive answers to this question which extend earlier results of Lyubeznik. In the process, we also prove a vanishing theorem for local cohomology modules which connects theorems previously known in the case of positive characteristic and in the case of monomial ideals.
Publié le : 2007-01-15
Classification:  13D45,  13A35 
@article{1258735336,
     author = {Singh, Anurag K. and Walther, Uli},
     title = {Local cohomology and pure morphisms},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 287-298},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258735336}
}

Singh, Anurag K.; Walther, Uli. Local cohomology and pure morphisms. Illinois J. Math., Tome 51 (2007) no. 3, pp.  287-298. http://gdmltest.u-ga.fr/item/1258735336/