On support ?-tilting graphs of gentle algebras

被引：7

作者：

Fu, Changjian ^{[1
]}

Geng, Shengfei ^{[1
]}

Liu, Pin ^{[2
]}

Zhou, Yu ^{[3
]}

机构：

[1] SiChuan Univ, Dept Math, Chengdu 610064, Peoples R China

[2] Southwest Jiaotong Univ, Dept Math, Chengdu 610031, Peoples R China

[3] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2023年 / 628卷

基金：

中国国家自然科学基金;

关键词：

Gentle algebra; Support ?-tilting module; Support ?-tilting graph; Marked surface; MODULES; SURFACES;

D O I：

10.1016/j.jalgebra.2023.03.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a finite-dimensional gentle algebra over an alge-braically closed field. We investigate the combinatorial proper-ties of support tau-tilting graph of A. In particular, it is proved that the support tau-tilting graph of A is connected and has the so-called reachable-in-face property. This property was conjectured by Fomin and Zelevinsky for exchange graphs of cluster algebras which was recently confirmed by Cao and Li.(c) 2023 Elsevier Inc. All rights reserved.

引用

页码：189 / 211

页数：23

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