Resolutions by mapping cones

From MaRDI portal
Publication:1605642

DOI10.4310/HHA.2002.v4.n2.a13zbMath1028.13008arXivmath/0101081MaRDI QIDQ1605642

Yukihide Takayama, Jürgen Herzog

Publication date: 1 August 2002

Published in: Homology, Homotopy and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0101081




Related Items (98)

IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTSSome homological properties of Borel type idealsRecursive Betti numbers for Cohen-Macaulay \(d\)-partite clutters arising from posetsPowers of componentwise linear ideals: the Herzog-Hibi-Ohsugi conjecture and related problemsSimplicial trees are sequentially Cohen-MacaulaySome algebraic Invariants of the residue class rings of the edge ideals of perfect semiregular treesCohen-Macaulay polymatroidal idealsEdge ideals of squares of treesStanley-Reisner RingsALGEBRAIC RELIABILITY OF MULTI-STATE k-OUT-OF-n SYSTEMSOn certain equidimensional polymatroidal idealsCohen-Macaulay admissible cluttersGeneric initial ideals and squeezed spheresNotes on the linearity defect and applicationsQuasi-stability versus GenericityIdeals with linear quotients in Segre productsSupport posets of some monomial idealsMultigraded shifts of matroidal idealsHow to compute the Stanley depth of a monomial idealGraded betti numbers and shifts of the symbolic power of a general star configuration in ℙnUnnamed ItemSequentially cohen-macaulay matroidal idealsAlternative polarizations of Borel fixed ideals, Eliahou-Kervaire type resolution and discrete Morse theoryWeakly polymatroidal ideals with applications to vertex cover idealsVertex covers in graphs with loopsAlgebraic properties of classes of path ideals of posetsOn the polymatroidal property of monomial ideals with a view towards orderings of minimal generatorsDirac's theorem and multigraded syzygiesAlgebraic and combinatorial properties of generalized bi-polymatroidal idealsSymbolic powers of cover ideal of very well-covered and bipartite graphsOn the matroidal path idealsA quasi-additive property of homological shift idealsRegularity, Rees algebra, and Betti numbers of certain cover idealsA note on stability properties of powers of polymatroidal idealsBetti numbers of symmetric shifted idealsIdeals with linear quotients and componentwise polymatroidal idealsMonomial ideals and toric rings of Hibi type arising from a finite posetMinimal free resolutions of linear edge idealsVery well-covered graphs by Betti splittingsEdgewise strongly shellable cluttersPowers of edge ideals of weighted oriented graphs with linear resolutionsComponentwise linearity of powers of cover idealsRegularity and ℎ-polynomials of toric ideals of graphsFree resolution of powers of monomial ideals and Golod ringsUnnamed ItemCellular resolutions from mapping conesResolutions of co-letterplace ideals and generalizations of Bier spheresUnnamed ItemDepth of powers of generalized Hibi idealsOn the free resolution induced by a Pommaret basisHomological shift idealsPowers of the vertex cover idealsMinimal free resolution of monomial ideals by iterated mapping coneA graded minimal free resolution of the $m$-th order symbolic power of a star configuration in $\P^n$The structure and free resolutions of the symbolic powers of star configurations of hypersurfacesRegularity of powers of squarefree monomial idealst-clique ideal and t-independence ideal of a graphLetterplace and co-letterplace ideals of posetsStanley decompositions and partitionable simplicial complexesLinear resolutions and polymatroidal idealsLinear resolutions of quadratic monomial idealsWhiskers and sequentially Cohen-Macaulay graphsFrom grids to pseudo-grids of lines: Resolution and seminormalityProperties of lexsegment idealsMonomial ideals with quasi-linear quotientsCellular structure for the Herzog-Takayama resolutionIdeals with linear quotientsExposed circuits, linear quotients, and chordal cluttersBetti numbers of lex ideals over some Macaulay-lex ringsResolutions of De Concini–Procesi Ideals of HooksSome Families of Componentwise Linear Monomial IdealsOn the Betti numbers and Rees algebras of ideals with linear powersComputing the support of monomial iterated mapping conesLinear strands of edge ideals of multipartite uniform cluttersOn the degree of the Kodiyalam polynomials of a graded ideal in the polynomial ringExpansions of monomial ideals and multigraded modulesBetti numbers of toric ideals of graphs: A case studyOn CW complexes supporting Eliahou-Kervaire type resolutions of Borel fixed idealsThe linear syzygy graph of a monomial ideal and linear resolutionsShellings and Sheddings Induced by CollapsesChordality, \(d\)-collapsibility, and componentwise linear idealsFree resolutions of lex-ideals over a Koszul toric ringSymbolic powers of vertex cover idealsUnnamed ItemProducts of polymatroids with the strong exchange propertyt-Spread strongly stable monomial ideals*Monomial Cut IdealsOn stability properties of powers of polymatroidal idealsPrime filtrations and Stanley decompositions of squarefree modules and Alexander dualityOn the minimal free resolution of symbolic powers of cover ideals of graphsThe depth of powers of an idealRestricted classes of veronese type ideals and algebrasResolutions of small sets of fat pointsOn the third squarefree Veronese subringSimplicial complexes of Whisker typeVector-spread monomial ideals and Eliahou-Kervaire type resolutionsSequentially Cohen-Macaulay edge idealsDiscrete polymatroids




This page was built for publication: Resolutions by mapping cones