Fulton's Conjecture for \bar{M}_{0,7}

Abstract

Fulton's conjecture for the moduli space of stable pointed rational curves, \bar{M}_{0,n}, claims that a divisor non-negatively intersecting all F-curves is linearly equivalent to an effective sum of boundary divisors. Our main result is a proof of Fulton's conjecture for n=7. A key ingredient in the proof is an \binom{n}{4} dimensional-subspace of the Neron-Severi space of \bar{M}_{0,n}, defined by averages of Keel relations, for which we prove Fulton's conjecture for all n.

Proof for n=6 omitted (see instead v1, or Ch. 2 of my thesis: http://edoc.hu-berlin.de/dissertationen/larsen-paul-2010-11-09/PDF/larsen.pdf). Introduction rewritten. Typos corrected. 20 pages. Slightly modified version to appear in the Journal of the London Mathematical Society

References in corpus (1)

• Numerical criteria for divisors on $\M_{g}$ to be ample

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• Symmetric F-conjecture for $g\le 35$
• Complete intersections and movable curves on the moduli space of six-pointed rational curves