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Contracting the Weierstrass locus to a point

Contracting the Weierstrass locus to a point

We construct an open substack U ⊂ M g,1 with the complement of codimension ≥ 2 and a morphism from U to a weighted projective stack, which sends the Weierstrass locus W ∩ U to a point, and maps M g,1 \ W isomorphically to its image.The construction uses alternative …