3 papers
math.AG2025
Asymptotics of local height pairing
Yuta Nakayama
We discuss the asymptotics of the Archimedean part of the Arakelov intersection number. The theorem is motivated by recent conjectures and their proof strategy by Gao and Zhang on…
math.AG2023
Degrees of some orthogonal Deligne--Lusztig varieties
Yuta Nakayama
We show a degree formula for a type of orthogonal Deligne--Lusztig varieties and their Plücker embeddings. This is an analog of work of Li on a unitary case.
math.NT2022
Arithmetic Gan-Gross-Prasad conjecture for RSZ unitary Shimura curves
Yuta Nakayama
Xue proved an equational refinement of the unitary Shimura curve case of the arithmetic Gan-Gross-Prasad conjecture via the Gross-Zagier formula for quaternionic Shimura curves. On…