Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-12-04T09:40:01.006Z Has data issue: false hasContentIssue false
  • English
  • Français

The Decomposition of the Module of n-th Order Differentials in Arbitrary Characteristic

Published online by Cambridge University Press:  20 November 2018

Klaus G. Fischer
Klaus G. Fischer*
Affiliation:
George Mason University, Fairfax, Virginia
Rights & Permissions [Opens in a new window]

Extract

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.

Throughout this paper, it is assumed that A is the complete, equicharacteristic, local ring of an algebraic curve at a one-branch singularity whose residue field is algebraically closed and contained in A. Hence, the domain A is dominated by only one valuation ring in its quotient held F, and if t is a uniformizing parameter, then the integral closure of A in F, denoted by Ā, is [[t]].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 3 , 01 June 1978 , pp. 512 - 517
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Brown, W., Blow up sequences and the module of n-th order differentials, Can. J. Math. 28 (1976), 1289–1301.Google Scholar
2. Fischer, K., The module decomposition of I (A/A), Trans. Amer. Math. Soc. 186 (1973), 113–128.Google Scholar
3. Zariski, O. and Samuel, P., Commutative algebra, vol. II (D. Van Nostrand, Princeton, 1960).Google Scholar