%0 Journal Article %T Exceptional Loci on $\bar M_{0,n}$ and Hypergraph Curves %A Ana-Maria Castravet %A Jenia Tevelev %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0809.1699v1