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Funktsional'nyi Analiz i ego Prilozheniya, 2006, Volume 40, Issue 2, Pages 55–64
DOI: https://doi.org/10.4213/faa6 (Mi faa6) 		 
This article is cited in 4 scientific papers (total in 4 papers)

An Analog of Determinant Related to Parshin–Kato Theory and Integer Polytopes

A. G. Khovanskiiabc

a Institute of Systems Analysis, Russian Academy of Sciences
b Independent University of Moscow
c University of Toronto
Full-text PDF (189 kB) Citations (4)
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DOI: https://doi.org/10.4213/faa6
Abstract: Parshin–Kato theory involves a multilinear function of $n+1$ vectors in the $n$-dimensional vector space over the field $\mathbb{Z}/2\mathbb{Z}$. The same function arises in the computation of the product in the group $(\mathbb{C}^*)^n$ of all roots of several polynomial equations with sufficiently generic Newton polytopes. We discuss this remarkable function and related geometry of integer polytopes.
Received: 12.01.2005
English version:
Functional Analysis and Its Applications, 2006, Volume 40, Issue 2, Pages 126–133
DOI: https://doi.org/10.1007/s10688-006-0019-y
Bibliographic databases:
Document Type: Article
UDC: 512.7+514.17
Language: Russian
Citation: A. G. Khovanskii, “An Analog of Determinant Related to Parshin–Kato Theory and Integer Polytopes”, Funktsional. Anal. i Prilozhen., 40:2 (2006), 55–64; Funct. Anal. Appl., 40:2 (2006), 126–133
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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