PreprintarXiv licencearXiv
Arithmetic Siegel--Weil formula on the product of modular curves
Abstract
We prove the full generating series arithmetic Siegel--Weil formula on the product of two modular curves, with arbitrarily singular coefficients. This is the case GSpin(2,2) in Kudla's program.
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BibTeX
@misc{chen2026arithmetic,
title = {{Arithmetic Siegel--Weil formula on the product of modular curves}},
author = {Ryan C. Chen and Baiqing Zhu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.20575},
eprint = {2610.20575},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.20575},
}
RIS
TY - UNPB
TI - Arithmetic Siegel--Weil formula on the product of modular curves
AU - Ryan C. Chen
AU - Baiqing Zhu
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.20575
UR - https://arxiv.org/abs/2610.20575
AB - We prove the full generating series arithmetic Siegel--Weil formula on the product of two modular curves, with arbitrarily singular coefficients. This is the case GSpin(2,2) in Kudla's program.
ER -