对于亏格2中的模群，至多有27个不等式定义了Maskit的基本区
At most 27 length inequalities define Maskit's fundamental domain for the modular group in genus 2
摘要：
在最近发表的工作Maskit构建了一个基本区D_g的Teichmueller模群的闭曲面S的属g>1。Maskit的技术是要求S上的某组2g非分割测地线C_{2g}满足一定的短准则。这给出了C_{2g}中的测地线必须满足的长度不等式的先验无限集。Maskit表明，这一套不等式是有限的，并为亏格g=2有最多45。在本文中，我们将这个数字提高到27。每个不等式：比较魏尔斯特拉斯点之间的距离在基本区S-C_4的S;和实现（作为一个平等）的一个或其他两个特殊的表面。
英文摘要：
In recently published work Maskit constructs a fundamental domain D_g for the Teichmueller modular group of a closed surface S of genus g>1. Maskit's technique is to demand that a certain set of 2g non-dividing geodesics C_{2g} on S satisfies certain shortness criteria. This gives an a priori infinite set of length inequalities that the geodesics in C_{2g} must satisfy. Maskit shows that this set of inequalities is finite and that for genus g=2 there are at most 45. In this paper we improve this number to 27. Each of these inequalities: compares distances between Weierstrass points in the fundamental domain S-C_4 for S; and is realised (as an equality) on one or other of two special surfaces.
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。
