Polynomials with a given discriminant over fields of algebraic functions of positive characteristic

Alexandra Shlapentokh

Vol. 173 (1996), No. 2, 533–555

DOI: 10.2140/pjm.1996.173.533

Abstract

The author extend some results obtained by K. Györy and I. Gaál for number fields and algebraic function fields of characteristic 0, to the fields of algebraic functions of positive characteristic. Though characteristic 0 results in their original form are not true for positive characteristic, one can still effectively classify polynomials with a given discriminant over the fields of algebraic functions of positive characteristic.

Mathematical Subject Classification 2000

Primary: 11R58

Milestones

Received: 8 June 1993

Published: 1 April 1996