1805.05174May 14, 2018Some typos corrected. A new section about AG-invariant of a gentle algebra and relations with the homological mirror symmetry is included. A more detailed discussion of Morita equivalences of tame nodal curves is given
Non-commutative nodal curves and derived tame algebras
Igor Burban, Yuriy Drozd
Abstract
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.