Algebraic independence of periods and logarithms of Drinfeld modules

Chang, Chieh-Yu; Papanikolas, Matthew

doi:10.1090/S0894-0347-2011-00714-5

Algebraic independence of periods and logarithms of Drinfeld modules
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by Chieh-Yu Chang and Matthew A. Papanikolas; with an appendix by Brian Conrad

J. Amer. Math. Soc. 25 (2012), 123-150

DOI: https://doi.org/10.1090/S0894-0347-2011-00714-5

Published electronically: August 1, 2011

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Abstract:

Let $\rho$ be a Drinfeld $A$-module with generic characteristic defined over an algebraic function field. We prove that all of the algebraic relations among periods, quasi-periods, and logarithms of algebraic points on $\rho$ are those coming from linear relations induced by endomorphisms of $\rho$.

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