The ideal of relations for the ring of invariants of n points on the line

Details The ideal of relations for the ring of invariants of n points on the line The ideal of relations for the ring of invariants of n points on the line

2009-09-17

arxiv.org/abs/0909.3230v1

Mathematics

Algebraic Geometry

41 pages, 9 figures

Scientific paper

The study of the projective coordinate ring of the (geometric invariant theory) moduli space of n ordered points on P^1 up to automorphisms began with Kempe in 1894, who proved that the ring is generated in degree one in the main (n even, unit weight) case. We describe the relations among the invariants for all possible weights. In the main case, we show that up to the symmetric group symmetry, there is a single equation. For n not 6, it is a simple quadratic binomial relation. (For n=6, it is the classical Segre cubic relation.) For general weights, the ideal of relations is generated by quadratics inherited from the case of 8 points. This paper completes the program set out in [HMSV1].

Affiliated with

Also associated with

No associations

Rating

The ideal of relations for the ring of invariants of n points on the line 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 ideal of relations for the ring of invariants of n points on the line, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The ideal of relations for the ring of invariants of n points on the line will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-391085