Sheaves on finite posets and modules over normal semigroup rings

DOI10.1016/S0022-4049(00)00095-5zbMath0992.13005MaRDI QIDQ5939625

Kohji Yanagawa

Publication date: 12 September 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

monomial idealsquarefree modulelocal cohomologysemigroup ring

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Local cohomology and commutative rings (13D45)

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Cites Work

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• Cohen-Macaulay rings of sections
• Whitney numbers of geometric lattices
• On graded rings. II: \(\mathbb{Z}\)-graded rings
• Resolutions of Stanley-Reisner rings and Alexander duality
• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• Local cohomology at monomial ideals
• The Alexander duality functors and local duality with monomial support
• Combinatorics and commutative algebra.
• Alexander duality for Stanley-Reisner rings and squarefree \(\mathbb{N}^n\)-graded modules
• Cohomological dimension of algebraic varieties
• Affine duality and cofiniteness
• Bass numbers of local cohomology modules with supports in monomial ideals
• Bass Numbers of Local Cohomology Modules
• The herzog-vasconcelos conjecture for affine semigroup rings
• Derivation algebras of toric varieties
• F-modules: applications to local cohomology and D-modules in characteristic p>0.
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
• Cohen-Macaulayness and squarefree modules
• Generalized Alexander duality and applications