The positivity of intersection multiplicities and symbolic powers of primeideals

Authors
Kurano, K Roberts, PC
Citation
K. Kurano et Pc. Roberts, The positivity of intersection multiplicities and symbolic powers of primeideals, COMP MATH, 122(2), 2000, pp. 165-182
Citations number
16
Categorie Soggetti
Mathematics
Journal title
COMPOSITIO MATHEMATICA
ISSN journal
0010437X → ACNP
Volume
122
Issue
2
Year of publication
2000
Pages
165 - 182
Database
ISI
SICI code
0010-437X(200006)122:2<165:TPOIMA>2.0.ZU;2-Y
Abstract
Serre's nonnegativity conjecture for intersection multiplicities has recent ly been proven by O. Gabber. In this paper we investigate Serre's positivit y conjecture using the methods which he developed. We show in particular th at the positivity conjecture has implications for properties of symbolic po wers of prime ideals in regular local rings.