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Russian Academy of Sciences. Izvestiya Mathematics, 1994, Volume 42, Issue 2, Pages 219–260
DOI: https://doi.org/10.1070/IM1994v042n02ABEH001536 (Mi im877) 		 
This article is cited in 50 scientific papers (total in 50 papers)

Homological properties of associative algebras: the method of helices

A. I. Bondal, A. E. Polishchuk
English version PDF (2520 kB) Citations (50)
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DOI: https://doi.org/10.1070/IM1994v042n02ABEH001536
Abstract: Homological properties of associative algebras arising in the theory of helices are studied. A class of noncommutative algebras is introduced in which it is natural (from the viewpoint of the theory of helices) to deform projective spaces and also certain Fano varieties. It is shown that in the case of deformations of the projective plane this approach leads to algebras associated with automorphisms of two-dimensional cubic curves.
Received: 24.03.1992
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1993, Volume 57, Issue 2, Pages 3–50
Bibliographic databases:
Document Type: Article
UDC: 513.6
MSC: 14H45, 14F05, 18F20, 18E30
Language: English
Original paper language: Russian
Citation: A. I. Bondal, A. E. Polishchuk, “Homological properties of associative algebras: the method of helices”, Izv. RAN. Ser. Mat., 57:2 (1993), 3–50; Russian Acad. Sci. Izv. Math., 42:2 (1994), 219–260
Citation in format AMSBIB
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\by A.~I.~Bondal, A.~E.~Polishchuk
\paper Homological properties of associative algebras: the method of helices
\jour Izv. RAN. Ser. Mat.
\yr 1993
\vol 57
\issue 2
\pages 3--50
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\zmath{https://zbmath.org/?q=an:0847.16010}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1994IzMat..42..219B}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1994
\vol 42
\issue 2
\pages 219--260
\crossref{https://doi.org/10.1070/IM1994v042n02ABEH001536}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994NT25700001}
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  • https://doi.org/10.1070/IM1994v042n02ABEH001536
  • https://www.mathnet.ru/eng/im/v57/i2/p3
    • This publication is cited in the following 50 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
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    Abstract page:1315
    Russian version PDF:617
    English version PDF:51
    References:57
    First page:3
     
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