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Birational geometry of moduli spaces of configurations of points on the line

Birational geometry of moduli spaces of configurations of points on the line

In this paper we study the geometry of GIT configurations of n ordered points on P 1 both from the the birational and the biregular viewpoint.In particular, we prove that any extremal ray of the Mori cone of effective curves of the quotient (P 1 ) n / /P GL(2), …