Hypertrees, projections, and moduli of stable rational curves

By Ana-Maria Castravet, Jenia Tevelev. 2010

62 citations recorded by the source corpus.

Abstract We give a conjectural description for the cone of effective divisors of the Grothendieck–Knudsen moduli space M̅0,n of stable rational curves with n marked points. Namely, we introduce new combinatorial structures called hypertrees and show that they give exceptional divisors on M̅0,n with many remarkable properties.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/af6cd3158e155bd747a117ad900eee90151e23cd

Citations in the corpus

• $\overline{M}_{0,n}$ is not a Mori Dream Space (2013, unknown): “n7). Since [HK00], the question whether M 0;n is a MDS was raised by several authors, see for example [Cas09], [AGS10], [GM10], [Kie10], [McK10], [Fed11], [BHK12], [GG12], [GHPS12], [GM12], [BGM13], [CT13], [GJM13], [Lar13]. One of the results in [GHPS12] is that M 0;nis a MDS if and only if the pro”