环形的无限中楣和三角形
Infinite friezes and triangulations of annuli
摘要：
众所周知，任何无限的中楣都来自于鲍尔、帕森斯和查博尔德对环形的三角测量。在本文中，我们表明，每一个周期性的无限frieze确定一个三角形的一个环在本质上是一个独特的方式。由于每个三角形的一个环确定一对中楣，我们研究这样的对，并显示他们如何确定对方。我们研究了相关的模范畴，并确定了这对中楣的增长系数。
英文摘要：
It is known that any infinite frieze comes from a triangulation of an annulus by Baur, Parsons and Tschabold. In this paper we show that each periodic infinite frieze determines a triangulation of an annulus in essentially a unique way. Since each triangulation of an annulus determines a pair of friezes, we study such pairs and show how they determine each other. We study associated module categories and determine the growth coefficient of the pair of friezes in terms of modules as well as their quiddity sequences.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
