Algebraic independence of periods and logarithms of Drinfeld modules-Reference-Cited by-同舟云学术

Algebraic independence of periods and logarithms of Drinfeld modules

Published:2011-08-01 Issue:1 Volume:25 Page:123-150
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Chang Chieh-Yu,Papanikolas Matthew

Abstract

Let ρ \rho be a Drinfeld A 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 ρ \rho are those coming from linear relations induced by endomorphisms of ρ \rho .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/2012-25-01/S0894-0347-2011-00714-5/S0894-0347-2011-00714-5.pdf

Reference27 articles.

1. 𝑡-motives;Anderson, Greg W.;Duke Math. J.,1986

2. Determination of the algebraic relations among special Γ-values in positive characteristic;Anderson, Greg W.;Ann. of Math. (2),2004

3. New Mathematical Monographs;Baker, A.,2007

4. Minimal extensions of algebraic groups and linear independence;Brownawell, W. Dale;J. Number Theory,2001

5. Linear independence of gamma values in positive characteristic;Brownawell, W. Dale;J. Reine Angew. Math.,2002

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