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arXiv · 2607.19945

Geometric models for endomorphism algebras of tilting modules over gentle algebras

Difan Deng·Shengfei Geng·Pin Liu
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Abstract

This paper investigates tilting modules over gentle algebras and their endomorphism algebras within the framework of marked surfaces and tilings introduced by Baur and Sim\~{o}es. Faithful dissections of a tiling are shown to correspond to tilting modules. For a faithful dissection, we define an auxiliary algebra and prove that it is isomorphic to the endomorphism algebra of the corresponding tilting module. We also construct a new tiling realizing this endomorphism algebra and introduce a flip preserving tilting modules.

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BibTeXRIS

Difan Deng, Shengfei Geng, Pin Liu. 2026-07-22. Geometric models for endomorphism algebras of tilting modules over gentle algebras. https://arxiv.org/abs/2607.19945

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