paper

Archimedean arithmetic Siegel--Weil formula for general weights over Shimura curves

arXiv:2605.01646

Abstract

We prove an averaging formula for the canonical archimedean height pairing of special divisors with weights over orthogonal and unitary Shimura curves in terms of derivatives of Whittaker functions.

47 pages; comments welcome

Archimedean arithmetic Siegel--Weil formula for general weights over Shimura curves · wovepaper