Geodesic
Algebraic independence of periods and logarithms of Drinfeld modules
Chang, Chieh-Yu1 ; Papanikolas, Matthew2
1 Department of Mathematics, National Tsing Hua University, No. 101, Sec. 2, Kuang Fu Road, Hsinchu City 30042, Taiwan, Republic of China and National Center for Theoretical Sciences, Hsinchu City 30042, Taiwan, Republic of China
2 Department of Mathematics, Texas A&M University, College Station, Texas 77843 U.S.A.
Journal of the American Mathematical Society, Tome 25 (2012) no. 1, pp. 123-150

Voir la notice de l'article provenant de la source American Mathematical Society

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 $\rho$.
DOI : 10.1090/S0894-0347-2011-00714-5

Chang, Chieh-Yu 1 ; Papanikolas, Matthew 2

1 Department of Mathematics, National Tsing Hua University, No. 101, Sec. 2, Kuang Fu Road, Hsinchu City 30042, Taiwan, Republic of China and National Center for Theoretical Sciences, Hsinchu City 30042, Taiwan, Republic of China
2 Department of Mathematics, Texas A&M University, College Station, Texas 77843 U.S.A. 
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Chang, Chieh-Yu; Papanikolas, Matthew. Algebraic independence of periods and logarithms of Drinfeld modules. Journal of the American Mathematical Society, Tome 25 (2012) no. 1, pp. 123-150. doi: 10.1090/S0894-0347-2011-00714-5

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