Title | **Calculating generators of multigraded algebras** |

Author(s) | Nathan Owen Ilten, Lars Kastner |

Type | Article in Journal |

Abstract | We present an algorithm to find generators of the multigraded algebra A associated to an arbitrary p-divisor D on some variety Y. A modified algorithm is also presented for the case where Y admits a torus action. We demonstrate our algorithm by computing generators for the Cox ring of the smooth del Pezzo surface of degree 5. |

Keywords | T-varieties, Polyhedral divisors, Multigradings |

ISSN | 0747-7171 |

URL |
http://www.sciencedirect.com/science/article/pii/S0747717112001137 |

Language | English |

Journal | Journal of Symbolic Computation |

Volume | 51 |

Number | 0 |

Pages | 22 - 33 |

Year | 2013 |

Note | Effective Methods in Algebraic Geometry |

Edition | 0 |

Translation |
No |

Refereed |
No |