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

Benjamin HowardJohn J. MillsonAndrew SnowdenRavi Vakil — 2012

Journal of the European Mathematical Society

The ring of projective invariants of n ordered points on the projective line is one of the most basic and earliest studied examples in Geometric Invariant Theory. It is a remarkable fact and the point of this paper that, unlike its close relative the ring of invariants of n unordered points, this ring can be completely and simply described. In 1894 Kempe found generators for this ring, thereby proving the First Main Theorem for it (in the terminology introduced by Weyl). In this paper we compute...

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