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Moscow Mathematical Journal, 2007, Volume 7, Number 2, Pages 327–346
DOI: https://doi.org/10.17323/1609-4514-2007-7-2-327-346 (Mi mmj285) 		 
This article is cited in 22 scientific papers (total in 22 papers)

The Newton polytope of the implicit equation

B. Sturmfelsa, E. A. Tevelevb, J. Yua

a University of California, Berkeley
b Department of Mathematics and Statistics, University of Massachusetts
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DOI: https://doi.org/10.17323/1609-4514-2007-7-2-327-346
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.
Received: July 17, 2006
Bibliographic databases:
MSC: 13P10, 14Q99, 52B20, 68W30
Language: English
Citation: B. Sturmfels, E. A. Tevelev, J. Yu, “The Newton polytope of the implicit equation”, Mosc. Math. J., 7:2 (2007), 327–346
Citation in format AMSBIB
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\paper The Newton polytope of the implicit equation
\jour Mosc. Math.~J.
\yr 2007
\vol 7
\issue 2
\pages 327--346
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    • This publication is cited in the following 22 articles:
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