Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-21680

**Brodmann, M; Rohrer, F (2005). Hilbert-Samuel coefficients and postulation numbers of graded components of certain local cohomology modules. Proceedings of the American Mathematical Society, 133(4):987-993 (electronic).**

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## Abstract

Let be a positively graded commutative Noetherian ring with one-dimensional local base ring . Let be an -primary ideal. Let be a finitely generated graded -module and let . Let denote the -th local cohomology module of with respect to the irrelevant ideal of . The main results in this paper are: "(a)" Assume that for all . Then there is a polynomial of degree such that for all , e_1(_0,H^i_(M)_n)=S(n), where is the so-called first Hilbert-Samuel coefficient of with respect to . "(b)" There is some such that for all , where is the postulation number of the -module with respect to .

Item Type: | Journal Article, refereed, original work |
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Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |

DDC: | 510 Mathematics |

Uncontrolled Keywords: | Local cohomology modules, graded components, Hilbert-Samuel polynomials |

Language: | English |

Date: | 2005 |

Deposited On: | 03 Feb 2010 09:42 |

Last Modified: | 09 Jan 2014 10:59 |

Publisher: | American Mathematical Society |

ISSN: | 0002-9939 |

Additional Information: | First published in [Proc. Amer. Math. Soc. 133 (2005), no. 4, 987--993 (electronic)], published by the American Mathematical Society |

Publisher DOI: | 10.1090/S0002-9939-04-07779-2 |

Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2117198 |

Citations: | Web of Science®. Times Cited: 1 Google Scholar™ |

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