Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2014, Volume 95, Issue 6, Pages 854–866
DOI: https://doi.org/10.4213/mzm9340 (Mi mzm9340) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Interior Klein Polyhedra

I. A. Makarovab

a M. V. Lomonosov Moscow State University
b National Research University "Higher School of Economics", Moscow
Full-text PDF (545 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm9340
Abstract: The convex hull of all integer points of a noncompact polyhedron is closed and is a generalized polyhedron only under certain conditions. It is proved that if only the integer points in the interior of the polyhedron are taken, then most of the conditions can be dropped. Moreover, the object thus obtained has properties resembling those of a Klein polyhedron, and it is a Klein polyhedron in the case of an irrational simplicial cone.
Keywords: continued fraction, Klein polyhedron, interior Klein polyhedron, simplicial cone.
Received: 01.11.2012
Revised: 03.10.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 6, Pages 795–805
DOI: https://doi.org/10.1134/S0001434614050241
Bibliographic databases:
Document Type: Article
UDC: 511.9
Language: Russian
Citation: I. A. Makarov, “Interior Klein Polyhedra”, Mat. Zametki, 95:6 (2014), 854–866; Math. Notes, 95:6 (2014), 795–805
Citation in format AMSBIB
\Bibitem{Mak14}
\by I.~A.~Makarov
\paper Interior Klein Polyhedra
\jour Mat. Zametki
\yr 2014
\vol 95
\issue 6
\pages 854--866
\mathnet{http://mi.mathnet.ru/mzm9340}
\crossref{https://doi.org/10.4213/mzm9340}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3306223}
\elib{https://elibrary.ru/item.asp?id=21826510}
\transl
\jour Math. Notes
\yr 2014
\vol 95
\issue 6
\pages 795--805
\crossref{https://doi.org/10.1134/S0001434614050241}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000338338200024}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84903385609}
Linking options:
  • https://www.mathnet.ru/eng/mzm9340
  • https://doi.org/10.4213/mzm9340
  • https://www.mathnet.ru/eng/mzm/v95/i6/p854
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:337
    Full-text PDF :117
    References:51
    First page:32
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024