3 papers
math.NT2026
Archimedean arithmetic Siegel--Weil formula for general weights over Shimura curves
Yifeng Liu
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 Wh…
math.NT2024
Bessel periods and Selmer groups over ordinary Rankin--Selberg eigenvariety
Yifeng Liu
We introduce the notion of ordinary distributions for unitary groups and their Rankin--Selberg products, based on which we (re)define the ordinary eigenvarieties. In both definite…
math.NT2024
Anticyclotomic -adic -functions for Rankin--Selberg product
Yifeng Liu
We construct -adic -functions for Rankin--Selberg products of automorphic forms of hermitian type in the anticyclotomic direction for both root numbers. When the root number…