No CrossRef data available.
Article contents
Derivations and Valuation Rings
Published online by Cambridge University Press: 20 November 2018
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
A complete characterization of valuation rings closed for a holomorphic derivation is given, following an idea of Seidenberg, in dimension 2.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2013
References
[1]
Cano, F., Moussu, R., and Rolin, J.-P., Non-oscillating integral curves and valuations.
J. Reine Angew. Math.
582 (2005), 107–142. http://dx.doi.org/10.1515/crll.2005.2005.582.107
Google Scholar
[2]
Cano, F., Moussu, R., and Sanz, F., Oscillation, spiralement, tourbillonnement. Comment. Math. Helv.
75 (2000), no. 2, 284–318. http://dx.doi.org/10.1007/s000140050127
Google Scholar
[3]
Cano, F., Roche, C., and Spivakovsky, M., Local uniformization in characteristic zero. Archimedian case. Rev. Semin. Iberoam. Mat.
3 (2008), no. 5-6, 49–64.Google Scholar
[4]
Fortuny Ayuso, P., The valuative theory of foliations, Canad. J. Math. 54 (2002), no. 5, 897–915. http://dx.doi.org/10.4153/CJM-2002-033-x
Google Scholar
[5]
Seidenberg, A., Reduction of singularities of the differential equation A dy = B dx.
Amer. J. Math.
90 (1968), 248–269. http://dx.doi.org/10.2307/2373435
Google Scholar
[6]
Seidenberg, A., Derivations and valuation rings. In: Contributions to Algebra.
Academic Press, New York, 1977, pp. 343–347.Google Scholar
[7]
Spivakovsky, M., Valuations in function fields of surfaces.
Amer. J. Math. 112 (1990), no. 1, 107–156. http://dx.doi.org/10.2307/2374856
Google Scholar
You have
Access