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Transactions of the American Mathematical Society

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Relative Frobenius of plane singularities


Author: D. Daigle
Journal: Trans. Amer. Math. Soc. 324 (1991), 777-791
MSC: Primary 14B05; Secondary 14H20
MathSciNet review: 1002919
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Abstract: In view of the well-known conjecture concerning the classification of lines in the affine plane in characteristic $ p > 0$, it is desirable to understand how the characteristic pairs of an irreducible algebroid plane curve are affected by the relative Frobenius. This paper determines the relation between the characteristic sequences $ [x,y]$ and $ [x,{y^p}]$, where $ x$ and $ y$ are formal power series in one variable with coefficients in a field of characteristic $ p > 0$.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1991-1002919-9
Keywords: Frobenius, characteristic pairs, embeddings of lines
Article copyright: © Copyright 1991 American Mathematical Society