Archimedean arithmetic Siegel--Weil formula for general weights over Shimura curves
Number Theory
2026-05-05 v1
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.
Keywords
Cite
@article{arxiv.2605.01646,
title = {Archimedean arithmetic Siegel--Weil formula for general weights over Shimura curves},
author = {Yifeng Liu},
journal= {arXiv preprint arXiv:2605.01646},
year = {2026}
}
Comments
47 pages; comments welcome