Hypertrees, projections, and moduli of stable rational curves

Details Hypertrees, projections, and moduli of stable rational curves Hypertrees, projections, and moduli of stable rational curves

2010-04-15

arxiv.org/abs/1004.2553v2

Mathematics

Algebraic Geometry

54 pages, 18 figures; added Section 10

Scientific paper

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.

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