Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Kho06}
\by A.~G.~Khovanskii
\paper An Analog of Determinant Related to Parshin--Kato Theory and Integer Polytopes
\jour Funktsional. Anal. i Prilozhen.
\yr 2006
\vol 40
\issue 2
\pages 55--64
\mathnet{http://mi.mathnet.ru/faa6}
\crossref{https://doi.org/10.4213/faa6}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2256863}
\zmath{https://zbmath.org/?q=an:1109.14036}
\elib{https://elibrary.ru/item.asp?id=9213514}
\transl
\jour Funct. Anal. Appl.
\yr 2006
\vol 40
\issue 2
\pages 126--133
\crossref{https://doi.org/10.1007/s10688-006-0019-y}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000238498600006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33744822447}
Linking options:
  • https://www.mathnet.ru/eng/faa6
  • https://doi.org/10.4213/faa6
  • https://www.mathnet.ru/eng/faa/v40/i2/p55
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:577
    Full-text PDF :243
    References:46
    First page:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024