paper

Hypertrees, projections, and moduli of stable rational curves

arXiv:1004.2553

Abstract

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

54 pages, 18 figures; added Section 10