Algebraic independence of periods and logarithms of Drinfeld modules (with an appendix by Brian Conrad)

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.

26 pages, final version, added appendix by Brian Conrad

Cited by in corpus (5)

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• The de Rham isomorphism for Drinfeld modules over Tate algebras
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• On finite Carlitz multiple polylogarithms