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The Ideal of Relations for the Ring of Invariants of n Points on the Line: Integrality Results.
- Source :
- Communications in Algebra; Oct2012, Vol. 40 Issue 10, p3884-3902, 19p, 2 Diagrams
- Publication Year :
- 2012
-
Abstract
- Consider the projective coordinate ring of the Geometric Invariant Theory (GIT) quotient (ℙ1) n //SL(2), with the usual linearization, where n is even. In 1894, Kempe proved that this ring is generated in degree one. In [2] we showed that, over ℚ, 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 article is to show that these results hold over , and to suggest why they may be true over . [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 40
- Issue :
- 10
- Database :
- Complementary Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 79830587
- Full Text :
- https://doi.org/10.1080/00927872.2011.598594