Suppose I have a morphism $f:\overline{\mathcal{M}}_{0,n} \to \mathbb{P}^N$ birational onto its image, and I know exactly what $F$-curves are contracted (or "dually", what divisors are contracted). Is this information in some way sufficient to determine what type of singularities will the image have? Under what hypothesis?
projective map from $\overline{\mathcal{M}}_{0,n}$
IMeasy
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