Faltings heights of CM elliptic curves and special Gamma values

In this paper, we evaluate the Faltings height of an elliptic curve with complex multiplication by an order in an imaginary quadratic field in terms of Euler’s Gamma function at rational arguments.

Main Authors: Barquero Sánchez, Adrián Alberto, Cadwallader, Lindsay, Cannon, Olivia, Genao, Tyler, Masri, Riad
Format: artículo científico
Language: Inglés
Published: 2019
Subjects:
Online Access: https://link.springer.com/article/10.1007/s40993-017-0077-7
http://hdl.handle.net/10669/76497
Summary: In this paper, we evaluate the Faltings height of an elliptic curve with complex multiplication by an order in an imaginary quadratic field in terms of Euler’s Gamma function at rational arguments.