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Unformatted text preview: P 1 ( C )) 4 \ of ordered fourtuples of distinct points in P 1 ( C ). Here denotes the diagonal, the set of 4-tuples with at least two coordinates equal. The group GL(2 , C ) acts naturally on X by transforming each ( x 1 ,x 2 ,x 3 ,x 4 ) in ( g x 1 ,g x 2 ,g x 3 ,g x 4 ) and R is an invariant function with respect to this action. In other words, R descends to a function on the orbit space R : X/ GL(2 , C ) C . The following is a classical result from the theory of invariants: 93...
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- Fall '09