Exceptional Loci on $\bar M_{0,n}$ and Hypergraph Curves

Details Exceptional Loci on $\bar M_{0,n}$ and Hypergraph Curves Exceptional Loci on $\bar M_{0,n}$ and Hypergraph Curves

2008-09-10

arxiv.org/abs/0809.1699v1

Mathematics

Algebraic Geometry

39 pages

Scientific paper

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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