The Michigan Mathematical Journal

Semigroups of valuations on local rings

Steven Dale Cutkosky and Bernard Teissier

Source: Michigan Math. J. Volume 57 (2008), 173-193.

Primary Subjects: 13A18, 14 E15, 16W50
Secondary Subjects: 06F05

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.mmj/1220879403
Digital Object Identifier: doi:10.1307/mmj/1220879403
Mathematical Reviews number (MathSciNet): MR2492447
Zentralblatt MATH identifier: 05604526

References

S. Abhyankar, Ramification theoretic methods in algebraic geometry, Ann. of Math. Stud., 43, Princeton Univ. Press, Princeton, NJ, 1959.
Mathematical Reviews (MathSciNet): MR105416
Zentralblatt MATH: 0101.38201
A. Campillo, Algebroid curves in positive characteristic, Lecture Notes in Math., 813, Springer-Verlag, Berlin, 1980.
Mathematical Reviews (MathSciNet): MR584440
Zentralblatt MATH: 0451.14010
V. Cossart and G. Moreno-Socias, Racines approchées, suites génératrices, suffisance des jets, Ann. Fac. Sci. Toulouse Math. (6) 14 (2005), 353--394.
Mathematical Reviews (MathSciNet): MR2172584
V. Cossart, C. Galindo, and O. Piltant, Un exemple effectif de gradué non noethérien associé à une valuation divisorielle, Ann. Inst. Fourier (Grenoble) 50 (2000), 105--112.
Mathematical Reviews (MathSciNet): MR1762339
S. D. Cutkosky, Semigroups of valutions dominating local domains, preprint, arXiv:0801.0449.
S. D. Cutkosky and O. Piltant, Ramification of valuations, Adv. Math. 183 (2004), 1--79.
Mathematical Reviews (MathSciNet): MR2038546
Digital Object Identifier: doi:10.1016/S0001-8708(03)00082-3
C. Favre and M. Jonsson, The valuative tree, Lecture Notes in Math., 1853, Springer-Verlag, Berlin, 2004.
Mathematical Reviews (MathSciNet): MR2097722
Zentralblatt MATH: 1064.14024
P. González Pérez, Toric embedded resolutions of quasi-ordinary hypersurface singularities, Ann. Inst. Fourier (Grenoble) 53 (2003), 1819--1881.
Mathematical Reviews (MathSciNet): MR2038781
I. Kaplansky, Maximal fields with valuations. I, Duke Math. J. 9 (1942), 303--321.
Mathematical Reviews (MathSciNet): MR6161
Digital Object Identifier: doi:10.1215/S0012-7094-42-00922-0
Project Euclid: euclid.dmj/1077493226
------, Maximal fields with valuations. II, Duke Math. J. 12 (1945), 243--248.
Mathematical Reviews (MathSciNet): MR12276
Digital Object Identifier: doi:10.1215/S0012-7094-45-01218-X
Project Euclid: euclid.dmj/1077473100
M. Nagata, Lectures on the fourteenth problem of Hilbert, Tata Institute of Fundamental Research, Bombay, 1965.
Mathematical Reviews (MathSciNet): MR215828
Zentralblatt MATH: 0182.54101
B. H. Neumann, On ordered division rings, Trans. Amer. Math. Soc. 66 (1949), 202--252.
Mathematical Reviews (MathSciNet): MR32593
Digital Object Identifier: doi:10.2307/1990552
L. Rédei, The theory of finitely generated commutative semigroups, Internat. Ser. Monogr. Pure Appl. Math., 82, Pergamon, Oxford, 1965.
Mathematical Reviews (MathSciNet): MR188322
P. Ribenboim, Fields, algebraically closed and others, Manuscripta Math. 75 (1992), 115--150.
Mathematical Reviews (MathSciNet): MR1160093
Digital Object Identifier: doi:10.1007/BF02567077
B. Teissier, Valuations, deformations, and toric geometry, Valuation theory and its applications, vol. II (Saskatoon, 1999), Fields Inst. Commun., 33, pp. 361--459, Amer. Math. Soc., Providence, RI, 2003.
Mathematical Reviews (MathSciNet): MR2018565
Zentralblatt MATH: 1061.14016
O. Zariski, The moduli problem for plane branches, Univ. Lecture Ser., 39, Amer. Math. Soc., Providence, RI, 2006.
Mathematical Reviews (MathSciNet): MR2273111
O. Zariski and P. Samuel, Commutative algebra, vol. II, Van Nostrand, Princeton, NJ, 1960.
Mathematical Reviews (MathSciNet): MR120249

2009 © The University of Michigan