Density of values of linear maps on quadratic surfaces

Details Density of values of linear maps on quadratic surfaces Density of values of linear maps on quadratic surfaces

2011-11-18

arxiv.org/abs/1111.4428v1

Mathematics

Number Theory

14 pages

Scientific paper

In this paper we investigate the distribution of the set of values of a linear map at integer points on a quadratic surface. In particular we show that this set is dense in the range of the linear map subject to certain algebraic conditions on the linear map and the quadratic form that defines the surface. The proof uses Ratner's Theorem on orbit closures of unipotent subgroups acting on homogeneous spaces.

Affiliated with

Also associated with

No associations

Rating

Density of values of linear maps on quadratic surfaces 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 Density of values of linear maps on quadratic surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Density of values of linear maps on quadratic surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-549815