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Componentwise linear ideals with minimal or maximal Betti numbers

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Arkiv för Matematik

Abstract

We characterize componentwise linear monomial ideals with minimal Taylor resolution and consider the lower bound for the Betti numbers of componentwise linear ideals.

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Authors and Affiliations

  1. Fachbereich Mathematik und Informatik, Universität Duisburg-Essen, Campus Essen, DE-45117, Essen, Germany

    Jürgen Herzog

  2. Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka, Osaka, 560-0043, Japan

    Takayuki Hibi & Satoshi Murai

  3. Department of Mathematical Sciences, Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu, Shiga, 525-8577, Japan

    Yukihide Takayama

Authors
  1. Jürgen Herzog
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  2. Takayuki Hibi
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  3. Satoshi Murai
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  4. Yukihide Takayama
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Corresponding author

Correspondence to Takayuki Hibi.

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Herzog, J., Hibi, T., Murai, S. et al. Componentwise linear ideals with minimal or maximal Betti numbers. Ark Mat 46, 69–75 (2008). https://doi.org/10.1007/s11512-007-0046-9

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  • DOI: https://doi.org/10.1007/s11512-007-0046-9

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