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arxiv: 1407.7839 · v2 · pith:HJ5ENUUTnew · submitted 2014-07-29 · 🧮 math.AG · math.CO· math.OC

Semiampleness criteria for divisors on overline M_(0,n)

classification 🧮 math.AG math.COmath.OC
keywords overlinecriteriadivisorssemiamplesemiamplenessapplicationassociatebalancedness
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We develop new characteristic-independent combinatorial criteria for semiampleness of divisors on $\overline{M}_{0,n}$. As an application, we associate to a cyclic rational quadratic form satisfying a certain balancedness condition an infinite sequence of semiample line bundles. We also give several sufficient and effective conditions for a symmetric divisor on $\overline{M}_{0,n}$ to be semiample or nef.

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