The Discriminant of an Algebraic Torus

Details The Discriminant of an Algebraic Torus The Discriminant of an Algebraic Torus

2011-05-19

arxiv.org/abs/1105.3938v1

The Journal of Number Theory, September 2011 volume 131, issue 9, pp. 1657-1671

Mathematics

Algebraic Geometry

17 pages

Scientific paper

10.1016/j.jnt.2011.03.001

For a torus T defined over a global field K, we revisit an analytic class number formula obtained by Shyr in the 1970's as a generalization of Dirichlet's class number formula. We prove a local-global presentation of the quasi-discriminant of T, which enters into this formula, in terms of cocharacters of T. This presentation can serve as a more natural definition of this invariant.

Affiliated with

Also associated with

No associations

Rating

The Discriminant of an Algebraic Torus 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 The Discriminant of an Algebraic Torus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Discriminant of an Algebraic Torus will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-70504