On analytic irreducibility at $\infty$ of a pencil of curves
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- by T. T. Moh PDF
- Proc. Amer. Math. Soc. 44 (1974), 22-24 Request permission
Abstract:
In this article we establish that if a member of the pencil $f(x,y) + \lambda$ is analytic irreducible at $\infty$ then all members are.References
- Shreeram S. Abhyankar and Tzuong Tsieng Moh, Newton-Puiseux expansion and generalized Tschirnhausen transformation. I, II, J. Reine Angew. Math. 260 (1973), 47–83; ibid. 261 (1973), 29–54. MR 337955, DOI 10.1515/crll.1973.260.47 S. S. Abhyankar and T. T. Moh, Newton-Puiseux expansion and generalized Tschirnhausen transformation. II, Crélle 261 (1973), 29-54.
- Wolfgang Engel, Ein Satz über ganze Cremona-Transformationen der Ebene, Math. Ann. 130 (1955), 11–19 (German). MR 75666, DOI 10.1007/BF01343190
- T. T. Moh, On approximate roots of a polynomial, J. Reine Angew. Math. 278(279) (1975), 301–306. MR 389915, DOI 10.1515/crll.1975.278-279.301
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 44 (1974), 22-24
- MSC: Primary 14H45; Secondary 14C20
- DOI: https://doi.org/10.1090/S0002-9939-1974-0357409-9
- MathSciNet review: 0357409