This paper provides an elementary construction of the moduli space of stable maps M 0,0 (P r , d) as a sequence of "weighted blow-ups along regular embeddings" of a projective variety. This is a corollary to a more general GIT construction of M 0,n (P r , d) that places stable maps, the Fulton-MacPherson space P 1 [n], and curves M 0,n into a single context.
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