Relative Frobenius of plane singularities
Author:
D. Daigle
Journal:
Trans. Amer. Math. Soc. 324 (1991), 777791
MSC:
Primary 14B05; Secondary 14H20
MathSciNet review:
1002919
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Abstract: In view of the wellknown 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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 R. Ganong, Kodaira dimension of embeddings of the line in the plane, J. Math. Kyoto Univ. 25 (1985), 649657. MR 810969 (87c:14013)
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 T. T. Moh, On characteristic pairs of algebroid plane curves for characteristic , Bull. Math. Academia Sinica 1 (1973), 7591. MR 0342517 (49:7263)
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 , On the classification problem of embedded lines in characteristic , Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata, 1987, pp. 267279.
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 M. Nagata, A theorem of Gutwirth, J. Math. Kyoto Univ. 11 (1971), 149154. MR 0274448 (43:213)
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 K. P. Russell, HamburgerNoether expansions and approximate roots of polynomials, Manuscripta Math. 31 (1980), 2595. MR 576491 (81g:14015)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029947199110029199
PII:
S 00029947(1991)10029199
Keywords:
Frobenius,
characteristic pairs,
embeddings of lines
Article copyright:
© Copyright 1991
American Mathematical Society
