The asymptotic values of a polynomial function on the real plane

DOI10.1016/0022-4049(95)00025-9zbMath0842.26012OpenAlexW1986513145WikidataQ127720655 ScholiaQ127720655MaRDI QIDQ1910762

Juan Ferrera, M. J. de la Puente

Publication date: 24 July 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00025-9

zbMATH Keywords

critical valuespolynomial functionasymptotic valuesreal planelocal trivial fibration

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Topology of real algebraic varieties (14P25) Polynomials, rational functions in real analysis (26C99)

Related Items

Measuring the local non-convexity of real algebraic curves ⋮ Atypical values at infinity of a polynomial function on the real plane: An erratum, and an algorithmic criterion

Cites Work

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• Sur la topologie des polynômes complexes. (Topology of complex polynomials)
• A counterexample to the strong real Jacobian conjecture
• Abstract Nash Manifolds
• Counting Critical Points of Real Polynomials in Two Variables