Extremal divisors on moduli spaces of rational curves with marked points

2013/09/27 by Opie, Morgan · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1309.7229

Abstract

We study effective divisors on M_0,n, focusing on hypertree divisors introduced by Castravet and Tevelev and the proper transforms of divisors on M_1,n-2 introduced by Chen and Coskun. Results include a database of hypertree divisor classes and closed formulas for Chen--Coskun divisor classes. We relate these two types of divisors, and from this construct extremal divisors on M_0,n for n ≥ 7 that furnish counterexamples to the conjectural description of the effective cone of M_0,n given by Castravet and Tevelev.

Cited by

• Isoresidual fibrations and the birational geometry of moduli of pointed stable curves
• Scattering amplitudes of stable curves

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