Log canonical models for the moduli space of pointed stable rational curves

Han-Bom Moon

Log canonical models for the moduli space of pointed stable rational curves

Algebraic Geometry 2011-01-07 v1

Authors: Han-Bom Moon

Abstract

We run Mori's program for the moduli space of pointed stable rational curves with divisor $K +\sum a_{i}\psi_{i}$ . We prove that, without assuming the F-conjecture, the birational model for the pair is the Hassett's moduli space of weighted pointed stable rational curves, without any modification of weight coefficients.

Keywords

moduli space pointed stable rational curves log canonical models Mori program Hassett's moduli space weighted stable curves

Cite

@article{arxiv.1101.1166,
  title  = {Log canonical models for the moduli space of pointed stable rational curves},
  author = {Han-Bom Moon},
  journal= {arXiv preprint arXiv:1101.1166},
  year   = {2011}
}

Comments

13 pages

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