Alexander duality for the alternative polarizations of strongly stable ideals

DOI10.1080/00927872.2020.1726940zbMath1441.13052arXiv1812.00571OpenAlexW3008406070MaRDI QIDQ5119299

Kohji Yanagawa, Kosuke Shibata

Publication date: 3 September 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.00571

zbMATH Keywords

Alexander dualitylocal cohomologystrongly stable idealsalternative polarizationsirreducible decomposition (of a monomial ideal)

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Local cohomology and commutative rings (13D45)

Related Items (3)

Finite group characters on free resolutions ⋮ Profunctors between posets and Alexander duality ⋮ Shift modules, strongly stable ideals, and their dualities

Cites Work

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• Alternative polarizations of Borel fixed ideals, Eliahou-Kervaire type resolution and discrete Morse theory
• Letterplace and co-letterplace ideals of posets
• Minimal resolutions of some monomial ideals
• Betti numbers of monomial ideals and shifted skew shapes
• Resolutions of Stanley-Reisner rings and Alexander duality
• Stable properties of algebraic shifting
• Associated primes and arithmetic degrees
• Shifting operations and graded Betti numbers
• Alexander duality for Stanley-Reisner rings and squarefree \(\mathbb{N}^n\)-graded modules
• Poset ideals of \(P\)-partitions and generalized letterplace and determinantal ideals
• Alternative polarizations of Borel fixed ideals
• Resolutions of co-letterplace ideals and generalizations of Bier spheres

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