论文标题
从几何形状到紧凑的双曲线coxeter多面体的算术
From geometry to arithmetic of compact hyperbolic Coxeter polytopes
论文作者
论文摘要
我们在双曲线空间中的紧凑型高速型多型上建立了一些几何约束,并表明这些约束可能是反射性各向异性洛伦兹晶格的分类问题和共同反射算术双曲反射组的非常有用的工具。
We establish some geometric constraints on compact Coxeter polytopes in hyperbolic spaces and show that these constraints can be a very useful tool for the classification problem of reflective anisotropic Lorentzian lattices and cocompact arithmetic hyperbolic reflection groups.