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Extremal rays of Betti cones

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Publication:5108394
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DOI10.1142/S0219498820500279zbMath1440.13003OpenAlexW2911803690WikidataQ114614740 ScholiaQ114614740MaRDI QIDQ5108394

Rajiv Kumar, H. Ananthnarayan

Publication date: 4 May 2020

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

Full work available at URL: https://doi.org/10.1142/s0219498820500279


zbMATH Keywords

multiplicityextremal raysBoij-Söderberg theoryBetti cone


Mathematics Subject Classification ID

Graded rings (13A02) Syzygies, resolutions, complexes and commutative rings (13D02)



Uses Software

  • Macaulay2
  • BoijSoederberg


Cites Work

  • The cone of Betti tables over three non-collinear points in the plane
  • The cone of Betti diagrams over a hypersurface ring of low embedding dimension
  • The cone of Betti tables over a rational normal curve
  • Betti numbers of graded modules and cohomology of vector bundles
  • Graded Betti numbers of Cohen-Macaulay modules and the multiplicity conjecture
  • Modules with pure resolutions


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