Relative Frobenius of plane singularities

Author:
D. Daigle

Journal:
Trans. Amer. Math. Soc. **324** (1991), 777-791

MSC:
Primary 14B05; Secondary 14H20

DOI:
https://doi.org/10.1090/S0002-9947-1991-1002919-9

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 , 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 and , where and are formal power series in one variable with coefficients in a field of characteristic .

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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