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Faltings heights of CM elliptic curves and special Gamma values

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Authors

Barquero Sánchez, Adrián Alberto
Cadwallader, Lindsay
Cannon, Olivia
Genao, Tyler
Masri, Riad

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Abstract

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.

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Faltings heights, Euler’s Gamma function, Elliptic curves

Citation

https://link.springer.com/article/10.1007/s40993-017-0077-7

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