Work

Asymptotics of local height pairing without Hodge conjecture

Year: 2026
Type: preprint
Abstract: 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 assumptions. We achieve this by exploiting the cohomological nature of Beilinson's local intersection index rather than arguing motivically.
Language: English
Open Access status: green
OpenAlex ID: W7223264052
Cites: 7
Cited by:
Related to: 10