Saturation for valuations on two-dimensional regular local rings

Authors
Delgado, F Galindo, C Nunez, A
Citation
F. Delgado et al., Saturation for valuations on two-dimensional regular local rings, MATH Z, 234(3), 2000, pp. 519-550
Citations number
16
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE ZEITSCHRIFT
ISSN journal
00255874 → ACNP
Volume
234
Issue
3
Year of publication
2000
Pages
519 - 550
Database
ISI
SICI code
0025-5874(200007)234:3<519:SFVOTR>2.0.ZU;2-7
Abstract
We study valuations centered in a regular local ring of dimension two. We d efine the notion of saturation with respect to such a valuation, extending the classical definitions. The invariants associated in a natural way to th e valuation are related with the saturated ring and some geometric properti es are deduced.