Punctured Distributions in the Rational Function Fields

Abstract

Let M be a nonconstant polynomial in the polynomial ring RT=Fq[T] over the finite field Fq. We show that the universal ordinary punctured distribution on 1MRT/RT is a free abelian group and determine its rank. We also compute the torsion subgroups of the universal ordinary punctured even and odd distributions. © 2001 Academic Press.