Non-commutative nodal curves and derived tame algebras

TL;DR

This paper introduces a geometric framework using non-commutative nodal curves to analyze and classify derived tame finite dimensional associative algebras, providing new insights into their structure.

Contribution

It develops a novel geometric approach leveraging non-commutative nodal curves to study derived tame algebras, bridging geometry and algebra.

Findings

Establishes a connection between non-commutative curves and derived tame algebras

Provides classification results for derived tame algebras using geometric methods

Introduces new tools for analyzing associative algebras via non-commutative geometry

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.