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

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.

published proceedings

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

author list (cited authors)

  • Chang, C., & Papanikolas, M. A.

complete list of authors

  • Chang, Chieh-Yu||Papanikolas, Matthew A

publication date

  • May 2010