### Abstract

Consider the Fulton-MacPherson configuration space of n points on ℙ^{1}, which is isomorphic to a certain moduli space of stable maps to ℙ^{1}. We compute the cone of effective script G sign _{n}-invariant divisors on this space. This yields a geometric interpretation of known asymptotic formulas for the number of integral points of bounded height on compactifications of SL_{2} in the space of binary forms of degree n ≥ 3.

Original language | English (US) |
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Pages (from-to) | 577-579 |

Number of pages | 3 |

Journal | Duke Mathematical Journal |

Volume | 120 |

Issue number | 3 |

DOIs | |

State | Published - Dec 1 2003 |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Hassett, B., & Tschinkel, Y. (2003). Integral points and effective cones of moduli spaces of stable maps.

*Duke Mathematical Journal*,*120*(3), 577-579. https://doi.org/10.1215/S0012-7094-03-12033-5