Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 2003, Volume 67, Issue 3, Pages 535–554
DOI: https://doi.org/10.1070/IM2003v067n03ABEH000437 (Mi im437) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Quasi-coherent sheaves in commutative and non-commutative geometry

D. O. Orlov

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (246 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2003v067n03ABEH000437
Abstract: We give a definition of quasi-coherent modules for any presheaf of sets on the categories of affine commutative and non-commutative schemes. This definition generalizes the usual one. We study the property of a quasi-coherent module to be a sheaf in various topologies. Using presheaves of groupoids, we construct an embedding of commutative geometry in non-commutative geometry.
Received: 21.01.2003
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2003, Volume 67, Issue 3, Pages 119–138
DOI: https://doi.org/10.4213/im437
Bibliographic databases:
Document Type: Article
UDC: 512.667
MSC: 14F05
Language: English
Original paper language: Russian
Citation: D. O. Orlov, “Quasi-coherent sheaves in commutative and non-commutative geometry”, Izv. RAN. Ser. Mat., 67:3 (2003), 119–138; Izv. Math., 67:3 (2003), 535–554
Citation in format AMSBIB
\Bibitem{Orl03}
\by D.~O.~Orlov
\paper Quasi-coherent sheaves in commutative and non-commutative geometry
\jour Izv. RAN. Ser. Mat.
\yr 2003
\vol 67
\issue 3
\pages 119--138
\mathnet{http://mi.mathnet.ru/im437}
\crossref{https://doi.org/10.4213/im437}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1992195}
\zmath{https://zbmath.org/?q=an:1077.14021}
\transl
\jour Izv. Math.
\yr 2003
\vol 67
\issue 3
\pages 535--554
\crossref{https://doi.org/10.1070/IM2003v067n03ABEH000437}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000185542200005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0242349398}
Linking options:
  • https://www.mathnet.ru/eng/im437
  • https://doi.org/10.1070/IM2003v067n03ABEH000437
  • https://www.mathnet.ru/eng/im/v67/i3/p119
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:628
    Russian version PDF:259
    English version PDF:24
    References:69
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024