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

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

2009-09-17

arxiv.org/abs/0909.3242v1

Mathematics

Algebraic Geometry

13 pages, 2 figures

Scientific paper

Consider the projective coordinate ring of the GIT quotient (P^1)^n//SL(2), with the usual linearization, where n is even. In 1894, Kempe proved that this ring is generated in degree one. In [HMSV2] we showed that, over the rationals, the relations between degree one invariants are generated by a class of quadratic relations -- the simplest binomial relations -- with the exception of n=6, where there is a single cubic relation. The purpose of this paper is to show that these results hold over Z[1/12!], and to suggest why they may be true over Z[1/6].

Affiliated with

Also associated with

No associations

Rating

The ideal of relations for the ring of invariants of n points on the line: integrality results 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: integrality results, 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: integrality results will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-391307