Degeneration of A-infinity modules

Bernt Tore Jensen, Dag Madsen, Xiuping Su

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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.
Original languageEnglish
Pages (from-to)4125-4142
Number of pages18
JournalTransactions of the American Mathematical Society
Volume361
Issue number8
Early online date23 Feb 2009
DOIs
Publication statusPublished - Aug 2009

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Degeneration
Orbits
Infinity
Module
Orbit
Algebra
Derived Category
Isomorphism Classes
Finite Dimensional Algebra
Algebraically closed
Closure

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Degeneration of A-infinity modules. / Jensen, Bernt Tore; Madsen, Dag; Su, Xiuping.

In: Transactions of the American Mathematical Society, Vol. 361, No. 8, 08.2009, p. 4125-4142.

Research output: Contribution to journalArticle

Jensen, Bernt Tore ; Madsen, Dag ; Su, Xiuping. / Degeneration of A-infinity modules. In: Transactions of the American Mathematical Society. 2009 ; Vol. 361, No. 8. pp. 4125-4142.
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