Mateo Crabit Nicolau

An archimedean approach to singular moduli on Shimura curves

Abstract We give a new proof of a recent generalization to Shimura curves of genus 0 of the work of Gross and Zagier in their paper ‘On singular moduli’. This generalization was conjectured by Giampietro and Darmon and proved by Daas by using p -adic $$\Theta $$ Θ -functions as a...