判别式15的Shimura曲线与拓扑自守形式
The Shimura curve of discriminant 15 and topological automorphic forms
摘要：
我们发现定义方程的Shimura曲线的判别式15在Z[1/15]。然后，我们确定了2-adic整数上的分次自守形式环，以及高阶上同调。我们应用这个计算同伦群的频谱的“拓扑自守形式“相关的这条曲线，以及一个相关的商的阿特金-莱纳对合。
英文摘要：
We find defining equations for the Shimura curve of discriminant 15 over Z[1/15]. We then determine the graded ring of automorphic forms over the 2-adic integers, as well as the higher cohomology. We apply this to calculate the homotopy groups of a spectrum of "topological automorphic forms" associated to this curve, as well as one associated to a quotient by an Atkin-Lehner involution.
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。
