Pullback of arithmetic theta series and its modularity for unitary Shimura curves
arxiv(2024)
摘要
This paper is a complement of the modularity result of Bruinier, Howard,
Kudla, Rapoport and Yang (BHKRY) for the special case U(1,1) not considered
there. The main idea to embed a U(1, 1) Shimura curve to many U(n-1, 1)
Shimura varieties for big n, and prove a precise pullback formula of the
generating series of arithmetic divisors. Afterwards, we use the modularity
result of BHKRY together with existence of non-vanishing of classical theta
series at any given point in the upper half plane to prove the modulartiy
result on U(1, 1) Shimura curves.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要