### Abstract

We show that there exists a saturated graded ideal in a standard graded polynomial ring which has the largest total Betti numbers among all saturated graded ideals for a fixed Hilbert polynomial.

Original language | English |
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Pages (from-to) | 1019-1064 |

Number of pages | 46 |

Journal | Algebra and Number Theory |

Volume | 7 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2013 Sep 20 |

Externally published | Yes |

### Keywords

- Graded betti numbers
- Hilbert polynomials

### ASJC Scopus subject areas

- Algebra and Number Theory

## Fingerprint Dive into the research topics of 'Sharp upper bounds for the betti numbers of a given hilbert polynomial'. Together they form a unique fingerprint.

## Cite this

Caviglia, G., & Murai, S. (2013). Sharp upper bounds for the betti numbers of a given hilbert polynomial.

*Algebra and Number Theory*,*7*(5), 1019-1064. https://doi.org/10.2140/ant.2013.7.1019