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Degeneration of A-infinity modules


Reference:

Jensen, B. T., Madsen, D. and Su, X., 2009. Degeneration of A-infinity modules. Transactions of the American Mathematical Society, 361 (8), pp. 4125-4142.

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    Official URL:

    http://dx.doi.org/10.1090/S0002-9947-09-04693-5

    Abstract

    In this paper we use A∞-modules to study the derived category of a finite dimensional algebra over an algebraically closed field. We study varieties parameterising A∞-modules. These varieties carry an action of an algebraic group such that orbits correspond to quasi-isomorphism classes of complexes in the derived category. We describe orbit closures in these varieties, generalising a result of Zwara and Riedtmann for modules.

    Details

    Item Type Articles
    CreatorsJensen, B. T., Madsen, D. and Su, X.
    DOI10.1090/S0002-9947-09-04693-5
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher StatementDeg_Ainf.pdf: First published in Transactions of the American Mathematical Society, 361 (8), published by the American Mathematical Society
    RefereedYes
    StatusPublished
    ID Code26977

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    • Degeneration of A-infinity modules. (deposited 31 Oct 2011 10:14)[Currently Displayed]

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