Uniform equivalence of symbolic and adic topologies
Huneke, Craig ; Katz, Daniel ; Validashti, Javid
Illinois J. Math., Tome 53 (2009) no. 1, p. 325-338 / Harvested from Project Euclid
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Let (R, m) be a local ring. We study the question of when there exists a positive integer h such that for all prime ideals P⊆R, the symbolic power P(hn) is contained in Pn, for all n≥1. We show that such an h exists when R is a reduced isolated singularity such that R either contains a field of positive characteristic and R is F-finite or R is essentially of finite type over a field of characteristic zero.
Publié le : 2009-05-15
Classification:  13A10,  13A35,  13H10,  14Q20 
@article{1264170853,
     author = {Huneke, Craig and Katz, Daniel and Validashti, Javid},
     title = {Uniform equivalence of symbolic and adic topologies},
     journal = {Illinois J. Math.},
     volume = {53},
     number = {1},
     year = {2009},
     pages = { 325-338},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1264170853}
}

Huneke, Craig; Katz, Daniel; Validashti, Javid. Uniform equivalence of symbolic and adic topologies. Illinois J. Math., Tome 53 (2009) no. 1, pp.  325-338. http://gdmltest.u-ga.fr/item/1264170853/