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This article is cited in 7 scientific papers (total in 7 papers)
On the Existence of Mixed Fiber Bodies
A. Esterov Department of Mathematics, University of Toronto
Abstract:
We give a direct proof of the existence of mixed fiber bodies which is not based upon the reduction to polytopes by continuity. It uses an explicit formula for the support function of a mixed fiber body instead. With the aid of this formula one can also compute the support function of a Newton polytope of a multidimensional resultant and prove a certain monotonicity property for mixed fiber bodies.
Key words and phrases:
fiber polytope, mixed volume, convexity, resultant.
Received: July 25, 2007
Citation:
A. Esterov, “On the Existence of Mixed Fiber Bodies”, Mosc. Math. J., 8:3 (2008), 433–442
Linking options:
https://www.mathnet.ru/eng/mmj317 https://www.mathnet.ru/eng/mmj/v8/i3/p433
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