Arithmetic Siegel--Weil formula on the product of modular curves
Ryan C. Chen, Baiqing Zhu
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.
Create a lesson
Related papers
The existence of small defining polynomials for number fields
Manjul Bhargava, Sameera Vemulapalli
The large sieve inequality and additive decompositions of sums of squares
Christian Elsholtz, Julia Stadlmann
Universal norms of partially de Rham B-pairs and perfectness in Lubin--Tate Iwasawa theory
Marvin Schneider, Rustam Steingart
GCD and ABC inequalities for abelian varieties over function fields
Guoquan Gao
S-squareful values of binary quadratic forms
Sarah Sophie Pohl
Quantitative lower bound for Pythagorean pairs in boxes of prime powers
Rongzhong Xiao