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Betti numbers of monomial ideals in four variables

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Publication:6104127
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DOI10.1142/s0219498823501372zbMath1530.13021arXiv1905.01151OpenAlexW4214563470MaRDI QIDQ6104127

Guillermo Alesandroni

Publication date: 28 June 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01151


zbMATH Keywords

free resolutionsBetti numbersmonomial idealscharacteristic dependence


Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02)




Cites Work

  • Unnamed Item
  • Minimal resolutions of dominant and semidominant ideals
  • Graded syzygies
  • The Alexander duality functors and local duality with monomial support
  • Planar graphs as minimal resolutions of trivariate monomial ideals
  • Structural decomposition of monomial resolutions
  • Resolutions of \textbf{a}-stable ideals.
  • Some results on Betti numbers of Stanley-Reisner rings
  • Characteristic-independence of Betti numbers of graph ideals
  • Three simplicial resolutions




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