5 papers
Asymptotics of local height pairing without Hodge conjecture
Yuta Nakayama
We remove the assumption of the Hodge conjecture from the asymptotic formula for the Archimedean local height established in our previous work. We also remove other minor assumptio…
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…
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.
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…
The canonicity of the integral models of RSZ Shimura varieties
Yuta Nakayama
We show that the integral models of Shimura varieties of Rapoport, Smithling and Zhang in relation to variants of the arithmetic Gan-Gross-Prasad conjecture, the arithmetic fundame…