ALGEBRAIC RELATIONS AMONG PERIODS AND LOGARITHMS OF RANK 2 DRINFELD MODULES uri icon

abstract

  • For any rank 2 Drinfeld module defined over an algebraic function field, we consider its period matrix P , which is analogous to the period matrix of an elliptic curve defined over a number field. Suppose that the characteristic of the finite field F q is odd and that does not have complex multiplication. We show that the transcendence degree of the field generated by the entries of P over F q () is 4. As a consequence, we show also the algebraic independence of Drinfeld logarithms of algebraic functions which are linearly independent over F q (). 2011 by The Johns Hopkins University Press.

published proceedings

  • AMERICAN JOURNAL OF MATHEMATICS

author list (cited authors)

  • Chang, C., & Papanikolas, M. A.

citation count

  • 9

complete list of authors

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

publication date

  • April 2011