Lyubeznik's resolution and rooted complexes

DOI10.1023/A:1020838732281zbMath1040.13010OpenAlexW1688639084MaRDI QIDQ1862993

Isabella Novik

Publication date: 11 March 2003

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

Full work available at URL: https://doi.org/10.1023/a:1020838732281

zbMATH Keywords

Stanley-Reisner ringsgeometric latticesresolutions of monomial idealsmatroid ideals

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Combinatorial aspects of matroids and geometric lattices (05B35) Semimodular lattices, geometric lattices (06C10) Syzygies, resolutions, complexes and commutative rings (13D02) Lattices (06B99) PL-topology (57Q99)

Related Items (8)

\(A_\infty\)-resolutions and the Golod property for monomial rings ⋮ Minimal resolutions of dominant and semidominant ideals ⋮ Minimal cellular resolutions of the edge ideals of forests ⋮ Barile-Macchia resolutions ⋮ Discrete Morse theory for cellular resolutions ⋮ Lyubeznik resolutions and the arithmetical rank of monomial ideals ⋮ Pruned cellular free resolutions of monomial ideals ⋮ Minimal free resolutions of monomial ideals and of toric rings are supported on posets

Cites Work

• Unnamed Item
• A new explicit finite free resolution of ideals generated by monomials in an R-sequence
• Broken circuit complexes: Factorizations and generalizations
• The lcm-lattice in monomial resolutions
• Syzygies of oriented matroids
• Discrete Morse theory for cellular resolutions
• Cellular resolutions of monomial modules
• Theory of Matroids

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