B. Sturmfels, E. A. Tevelev, J. Yu, “The Newton polytope of the implicit equation”, Mosc. Math. J., 2007, Volume 7, Number 2,Pages <nobr>327

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The Newton polytope of the implicit equation

B. Sturmfels^a, E. A. Tevelev^b, J. Yu^a

^a University of California, Berkeley
^b Department of Mathematics and Statistics, University of Massachusetts

Abstract: We apply tropical geometry to study the image of a map defined by Laurent polynomials with generic coefficients. If this image is a hypersurface then our approach gives a construction of its Newton polytope.

Key words and phrases: Implicitization, Newton polytope, tropical geometry.

MSC: 13P10, 14Q99, 52B20, 68W30

Received: July 17, 2006

Language: English

DOI: 10.17323/1609-4514-2007-7-2-327-346