2022/06/12 by Siddarth Sankaran, Sankaran, Siddarth, Yousheng Shi +3
Mathematics · #11F46 #11G18 #14G35 #14G40 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2206.05823
openalex publication_date 2022/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We define a family of arithmetic zero cycles in the arithmetic Chow group of a modular curve X0(N), for N>3 odd and squarefree, and identify the arithmetic degrees of these cycles as q-coefficients of the central derivative of a Siegel Eisenstein series of genus two. This parallels work of Kudla-Rapoport-Yang for Shimura curves.