Reduction theory of point clusters in projective space

Details Reduction theory of point clusters in projective space Reduction theory of point clusters in projective space

2009-09-15

arxiv.org/abs/0909.2808v1

Mathematics

Number Theory

12 pages

Scientific paper

In this paper, we generalise results obtained earlier by John Cremona and the author on the reduction theory of binary forms, which describe positive zero-cycles in P^1, to positive zero-cycles (or point clusters) in projective spaces of arbitrary dimension. This should have applications to more general projective varieties in P^n, by associating a suitable positive zero-cycle to them in an PGL(n+1)-invariant way. We discuss this in the case of (smooth) plane curves.

Affiliated with

Also associated with

No associations

Rating

Reduction theory of point clusters in projective space 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 Reduction theory of point clusters in projective space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reduction theory of point clusters in projective space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-555936