English

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

Algebraic Geometry 2008-09-11 v1

Abstract

We give a myriad of examples of extremal divisors, rigid curves, and birational morphisms with unexpected properties for the Grothendieck--Knudsen moduli space Mˉ0,n\bar M_{0,n} of stable rational curves. The basic tool is an isomorphism between M0,nM_{0,n} and the Brill--Noether locus of a very special reducible curve corresponding to a hypergraph.

Keywords

Cite

@article{arxiv.0809.1699,
  title  = {Exceptional Loci on $\bar M_{0,n}$ and Hypergraph Curves},
  author = {Ana-Maria Castravet and Jenia Tevelev},
  journal= {arXiv preprint arXiv:0809.1699},
  year   = {2008}
}

Comments

39 pages

R2 v1 2026-06-21T11:18:38.430Z