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• W1486580595 abstract "We prove that any pair of bivariate trinomials has at most 5 isolated roots in the positive quadrant. The best previous upper bounds independent of the polynomial degrees counted only non-degenerate roots and even then gave much larger bounds, e.g., 248832 via a famous general result of Khovanski. Our bound is sharp, allows real exponents, and extends to certain systems of n-variate fewnomials, giving improvements over earlier bounds by a factor exponential in the number of monomials. We also derive new bounds on the number of real connected components of fewnomial hypersurfaces." @default.
• W1486580595 created "2016-06-24" @default.
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• W1486580595 date "2000-08-09" @default.
• W1486580595 modified "2023-09-27" @default.
• W1486580595 title "Counting Isolated Roots of Trinomial Systems in the Plane and Beyond" @default.
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