A note on the Jacobian condition and two points at infinity
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- by James H. McKay and Stuart Sui Sheng Wang PDF
- Proc. Amer. Math. Soc. 111 (1991), 35-43 Request permission
Abstract:
If two polynomials $F$ and $G$ satisfy the Jacobian condition and the Newton polygon of $F$ has an edge of negative slope, then the sum of terms of $F$ along this edge has at most two distinct irreducible factors and their exponents must be different. Moreover, the slope is either a (negative) integer and the edge touches the $y$-axis or a (negative) Egyptian fraction and the edge touches the $x$-axis. Furthermore, there is an elementary automorphism which reduces the size of the Newton polygon.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 35-43
- MSC: Primary 14E07; Secondary 13B10, 14E20
- DOI: https://doi.org/10.1090/S0002-9939-1991-1034887-3
- MathSciNet review: 1034887