Title | **A homological criterion for the containment between symbolic and ordinary powers of some ideals of points in** |

Author(s) | Alexandra Seceleanu |

Type | Article in Journal |

Abstract | Abstract We establish a criterion for the (failure of) the containment I ( m ) ⊆ I r for 3-generated ideals I defining reduced sets of points in P 2 . Our criterion arises from studying the minimal free resolutions of the powers of I, specifically the minimal free resolutions for I m and I r . We apply this criterion to two point configurations that have recently arisen as counterexamples to a question of B. Harbourne and C. Huneke: the family of Fermat configurations and the Klein configuration. |

ISSN | 0022-4049 |

URL |
http://www.sciencedirect.com/science/article/pii/S002240491500081X |

Language | English |

Journal | Journal of Pure and Applied Algebra |

Volume | 219 |

Number | 11 |

Pages | 4857 - 4871 |

Year | 2015 |

Edition | 0 |

Translation |
No |

Refereed |
No |