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arXiv · 1111.4657

Derived Equivalence in Surface Algebras of Genus 0 via Graded Equivalence

Lucas David-Roesler
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Abstract

We determine some of the derived equivalences of a class of gentle algebras called surface algebras. These algebras are constructed from an unpunctured Riemann surface of genus 0 with boundary and marked points by introducing cuts in internal triangles of an arbitrary triangulation of the surface. In particular, we fix a triangulation of a surface and determine when different cuts produce derived equivalent algebras.

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BibTeXRIS

Lucas David-Roesler. 2011-11-20. Derived Equivalence in Surface Algebras of Genus 0 via Graded Equivalence. https://arxiv.org/abs/1111.4657

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