Skip to main content
SpringerLink
Log in

Rigid resolutions and big Betti numbers

  • Original paper
  • Published:
Commentarii Mathematici Helvetici

Abstract

The Betti-numbers of a graded ideal I in a polynomial ring and the Betti-numbers of its generic initial ideal Gin(I) are compared. In characteristic zero it is shown that if these Betti-numbers coincide in some homological degree, then they coincide in all higher homological degrees. We also compare the Betti-numbers of componentwise linear ideals which are contained in each other and have the same Hilbert polynomial.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. DIMA - Dipartimento di Matematica, Via Dodecaneso 35, 16146, Genova, Italy

    Aldo Conca

  2. Fachbereich Mathematik und Informatik, Universität Duisburg-Essen, 45117, Essen, Germany

    Jürgen Herzog

  3. Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, 560-0043, Osaka, Japan

    Takayuki Hibi

Authors
  1. Aldo Conca
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jürgen Herzog
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Takayuki Hibi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Aldo Conca.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Conca, A., Herzog, J. & Hibi, T. Rigid resolutions and big Betti numbers . Comment. Math. Helv. 79, 826–839 (2004). https://doi.org/10.1007/s00014-004-0812-2

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00014-004-0812-2

Mathematics Subject Classification (2000)

Keywords.

Search

Navigation