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The Positivity of Intersection Multiplicities and Symbolic Powers of Prime Ideals
Published online by Cambridge University Press: 04 December 2007
Abstract
Serre's nonnegativity conjecture for intersection multiplicities has recently been proven by O. Gabber. In this paper we investigate Serre's positivity conjecture using the methods which he developed. We show in particular that the positivity conjecture has implications for properties of symbolic powers of prime ideals in regular local rings.
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- © 2000 Kluwer Academic Publishers
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