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arxiv: 0809.1699 · v1 · submitted 2008-09-10 · 🧮 math.AG

Exceptional Loci on bar M_(0,n) and Hypergraph Curves

classification 🧮 math.AG
keywords curveshypergraphbasicbirationalbrill--noethercorrespondingcurvedivisors
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We give a myriad of examples of extremal divisors, rigid curves, and birational morphisms with unexpected properties for the Grothendieck--Knudsen moduli space $\bar M_{0,n}$ of stable rational curves. The basic tool is an isomorphism between $M_{0,n}$ and the Brill--Noether locus of a very special reducible curve corresponding to a hypergraph.

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