Abstract
We prove that if c is the infimum value of a polynomial of two variables f and if f does not attain c,then c is a critical value of singularties at infinity of the global Milnor fibration of f. This provides a method of complex geometry for finding the infimum values of real polynomials
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Vui, H.A.H. (2001). Infimum of Polynomials and Singularity at Infinity. In: Migdalas, A., Pardalos, P.M., Värbrand, P. (eds) From Local to Global Optimization. Nonconvex Optimization and Its Applications, vol 53. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-5284-7_9
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DOI: https://doi.org/10.1007/978-1-4757-5284-7_9
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