Derived classification of gentle algebras with two cycles

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Avella-Alaminos, Diana
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We classify gentle algebras defined by quivers with two cycles under derived equivalence in a non degenerate case, by using some combinatorial invariants constructed from the quiver with relations defining these algebras. We also present a list of normal forms; any such algebra is derived equivalent to one of the algebras in the list.
Comment: 41 pages Appendix added (after a manuscript by T. Holm, J. Schr\"oer, A. Zimmermann) To be published in "Boletin De La Sociedad Matematica Mexicana"
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Mathematics - Representation Theory, 16G20, 16E30, 18E30
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