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

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

2010-05-27

arxiv.org/abs/1005.5120v2

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

Mathematics

Number Theory

26 pages, final version, added appendix by Brian Conrad

Scientific paper

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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