Alternative polarizations of Borel fixed ideals, Eliahou-Kervaire type resolution and discrete Morse theory

DOI10.1007/s10801-012-0409-6zbMath1277.13015arXiv1111.6258OpenAlexW2042174258MaRDI QIDQ364702

Ryota Okazaki, Kohji Yanagawa

Publication date: 9 September 2013

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.6258

zbMATH Keywords

polarizationdiscrete Morse theoryalternative polarizationBorel fixed idealEliahou-Kervaire resolutionstrongly stable monomial ideal

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Theory of modules and ideals in commutative rings (13C99)

Related Items (3)

Alexander duality for the alternative polarizations of strongly stable ideals ⋮ On CW complexes supporting Eliahou-Kervaire type resolutions of Borel fixed ideals ⋮ Polarization and spreading of monomial ideals

Cites Work

• The Eliahou-Kervaire resolution is cellular
• Minimal resolutions of some monomial ideals
• The minimal free resolution of a Borel ideal
• Betti numbers of monomial ideals and shifted skew shapes
• Morse theory for cell complexes
• Resolutions by mapping cones
• Shifting operations and graded Betti numbers
• On discrete Morse functions and combinatorial decompositions
• Generic initial ideals and squeezed spheres
• Discrete Morse theory for cellular resolutions
• A Minimal Poset Resolution of Stable Ideals
• Alternative polarizations of Borel fixed ideals
• Minimal resolutions via algebraic discrete Morse theory

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