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Moscow Mathematical Journal, 2008, Volume 8, Number 3, Pages 433–442
DOI: https://doi.org/10.17323/1609-4514-2008-8-3-433-442
(Mi mmj317)
 

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
Full-text PDF Citations (7)
References:
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
Bibliographic databases:
Language: English
Citation: A. Esterov, “On the Existence of Mixed Fiber Bodies”, Mosc. Math. J., 8:3 (2008), 433–442
Citation in format AMSBIB
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\by A.~Esterov
\paper On the Existence of Mixed Fiber Bodies
\jour Mosc. Math.~J.
\yr 2008
\vol 8
\issue 3
\pages 433--442
\mathnet{http://mi.mathnet.ru/mmj317}
\crossref{https://doi.org/10.17323/1609-4514-2008-8-3-433-442}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2483219}
\zmath{https://zbmath.org/?q=an:1160.52004}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000261829800003}
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  • https://www.mathnet.ru/eng/mmj/v8/i3/p433
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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