Symmetry, splitting rational places in extensions of function fields and generalization of the Hermitian function field

Details Symmetry, splitting rational places in extensions of function fields and generalization of the Hermitian function field Symmetry, splitting rational places in extensions of function fields and generalization of the Hermitian function field

2000-10-19

arxiv.org/abs/math/0010193v1

Mathematics

Number Theory

36 pages

Scientific paper

The notion of symmetry in polynomial rings with several indeterminates is generalized to polynomial rings over finite fields. Families of extensions of the projective line over a finite field of constants possessing this property are explicitly constructed. These extensions exhibit complete splitting of all finite rational places. Subcovers of these extensions are also explicitly described. New examples of function fields attaining the Oesterle bounds are obtained. These constructions are compared with class field theoretic constructions achieving similar splitting of rational places. A generalization to the Hermitian function field over fields of non-square cardinality is proposed.

Affiliated with

Also associated with

No associations

Rating

Symmetry, splitting rational places in extensions of function fields and generalization of the Hermitian function field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symmetry, splitting rational places in extensions of function fields and generalization of the Hermitian function field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetry, splitting rational places in extensions of function fields and generalization of the Hermitian function field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-667249