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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) Russian version article
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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
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. Math., 67:3 (2003), 535–554
Citation in format AMSBIB
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\by D.~O.~Orlov
\paper Quasi-coherent sheaves in commutative and non-commutative geometry
\jour Izv. Math.
\yr 2003
\vol 67
\issue 3
\pages 535--554
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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