Semiampleness criteria for divisors on $\overline M_{0,n}$

Maksym Fedorchuk

Semiampleness criteria for divisors on $\overline M_{0,n}$

Algebraic Geometry 2015-06-10 v2 Combinatorics Optimization and Control

Authors: Maksym Fedorchuk

Abstract

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.

Keywords

moduli space of curves divisors semiampleness nef divisors combinatorial criteria cyclic rational quadratic forms line bundles

Cite

@article{arxiv.1407.7839,
  title  = {Semiampleness criteria for divisors on $\overline M_{0,n}$},
  author = {Maksym Fedorchuk},
  journal= {arXiv preprint arXiv:1407.7839},
  year   = {2015}
}

Comments

v1: 15 pages, 1 figure, 1 table, v2: major revision, includes new results and a streamlined proof of the main theorem of arXiv:1308.5993, 36 pages, 1 table

Semiampleness criteria for divisors on $\overline M_{0,n}$

Abstract

Keywords

Cite

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