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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
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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