Corpus ID: 115166921

A polygonal presentation of $Pic(\overline{\mathfrak{M}}_{0,n})$

@article{Carr2009APP,
  title={A polygonal presentation of \$Pic(\overline\{\mathfrak\{M\}\}_\{0,n\})\$},
  author={S. Carr},
  journal={arXiv: Algebraic Geometry},
  year={2009}
}
  • S. Carr
  • Published 2009
  • Mathematics
  • arXiv: Algebraic Geometry
In the first section of this article, we recall Keel's well-known presentation of $Pic(\overline{\mathfrak{M}}_{0,n})$ using irreducible boundary divisors of $\overline{\mathfrak{M}}_{0,n}$ as generators, and describe a basis for $Pic(\overline{\mathfrak{M}}_{0,n})$ recently discovered by Keel and Gibney. In the second section, we present a theorem which gives an explicit and very simple expression for every boundary divisor in terms of this basis, thereby yielding a new presentation with a… Expand
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