Lower bounds on the class number of algebraic function fields defined over any finite field

Details Lower bounds on the class number of algebraic function fields defined over any finite field Lower bounds on the class number of algebraic function fields defined over any finite field

2011-03-10

arxiv.org/abs/1103.2161v2

Mathematics

Algebraic Geometry

24 pages

Scientific paper

We give lower bounds on the number of effective divisors of degree $\leq g-1$ with respect to the number of places of certain degrees of an algebraic function field of genus $g$ defined over a finite field. We deduce lower bounds and asymptotics for the class number, depending mainly on the number of places of a certain degree. We give examples of towers of algebraic function fields having a large class number.

Affiliated with

Also associated with

No associations

Rating

Lower bounds on the class number of algebraic function fields defined over any finite 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 Lower bounds on the class number of algebraic function fields defined over any finite field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lower bounds on the class number of algebraic function fields defined over any finite field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-429580