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Non-commutative nodal curves and derived tame algebras

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arxiv 1805.05174 v3 pith:WYKIGDGL submitted 2018-05-14 math.AG math.RT

Igor Burban , Yuriy Drozd This is my paper · ORCID
classification math.AGmath.RT
keywords algebrascurvesderivednodalnon-commutativetameapproachassociative
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In this paper, we develop a geometric approach to study derived tame finite dimensional associative algebras, based on the theory of non-commutative nodal curves.

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  1. Calabi-Yau properties of ribbon graph orders

    math.RT 2019-08 conditional novelty 7.0 of 10

    Every ribbon graph order has a Nakayama automorphism making it twisted 1-Calabi-Yau, and it is symmetric, hence 1-Calabi-Yau, precisely when the ribbon graph is bipartite or the field has characteristic two.

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