Subadditivity of syzygies of Koszul algebras
From MaRDI portal
Publication:2255287
DOI10.1007/s00208-014-1060-4zbMath1333.13021arXiv1308.6811OpenAlexW2088713490WikidataQ101085496 ScholiaQ101085496MaRDI QIDQ2255287
Aldo Conca, Luchezar L. Avramov, Srikanth B. Iyengar
Publication date: 9 February 2015
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1308.6811
Syzygies, resolutions, complexes and commutative rings (13D02) Quadratic and Koszul algebras (16S37)
Related Items
A note on the subadditivity of Syzygies ⋮ The structure of DGA resolutions of monomial ideals ⋮ Some results on the subadditivity condition of syzygies ⋮ Subadditivity of Syzygies of Ideals and Related Problems ⋮ Linear syzygies, flag complexes, and regularity ⋮ On vanishing patterns in \(j\)-strands of edge ideals ⋮ Koszul homology of quotients by edge ideals ⋮ Weighted homological regularities ⋮ Syzygies over a polynomial ring ⋮ Subadditivity, strand connectivity and multigraded Betti numbers of monomial ideals ⋮ Betti numbers of Koszul algebras defined by four quadrics ⋮ Asymptotic syzygies of Stanley-Reisner rings of iterated subdivisions ⋮ DETECTING KOSZULNESS AND RELATED HOMOLOGICAL PROPERTIES FROM THE ALGEBRA STRUCTURE OF KOSZUL HOMOLOGY ⋮ The regularity of almost all edge ideals ⋮ Koszul almost complete intersections ⋮ Quadratic Gorenstein algebras with many surprising properties ⋮ Linear syzygies, hyperbolic Coxeter groups and regularity ⋮ Degree bounds on homology and a conjecture of Derksen ⋮ On the maximal graded shifts of ideals and modules ⋮ The Koszul homology algebra of the second Veronese is generated by the lowest strand ⋮ Multigraded minimal free resolutions of simplicial subclutters ⋮ Products of ideals of linear forms in quadric hypersurfaces ⋮ Tight combinatorial manifolds and graded Betti numbers ⋮ Bounding the degrees of a minimal \(\mu\)-basis for a rational surface parametrization ⋮ Koszul properties of the moment map of some classical representations ⋮ Lattice complements and the subadditivity of syzygies of simplicial forests ⋮ A survey on the Koszul homology algebra ⋮ Well ordered covers, simplicial bouquets, and subadditivity of Betti numbers of square-free monomial ideals ⋮ Breaking up simplicial homology and subadditivity of syzygies
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bounds on the regularity and projective dimension of ideals associated to graphs
- Koszul homology and syzygies of Veronese subalgebras
- Some wonderful rings in algebraic geometry
- Resolutions of Segre embeddings of projective spaces of any dimension
- Syzygies of canonical curves and special linear series
- On the projective normality of complete linear series on an algebraic curve
- On the complexity of computing syzygies
- Relations on pfaffians. I: Plethysm formulas
- On the computation of a-invariants
- On graded rings. I
- Factoring out the socle of a Gorenstein ring
- Ideals generated by quadrics exhibiting double exponential degrees
- The complexity of the word problems for commutative semigroups and polynomial ideals
- Syzygies of Segre embeddings and \(\Delta\)-modules
- Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings
- Regularity 3 in edge ideals associated to bipartite graphs
- Free resolutions over commutative Koszul algebras
- A polynomial bound on the regularity of an ideal in terms of half of the syzygies
- Grassmannians and their Schubert subvarieties are arithmetically Cohen- Macaulay
- Koszul Cycles
- A note on the subadditivity problem for maximal shifts in free resolutions
- On the minimal free resolution of $n+1$ general forms
- Characteristic-free bounds for the Castelnuovo–Mumford regularity
- Determination of a class of Poincaré series.
- Equations defining rational singularities
- On Minimally Elliptic Singularities
- What can be computed in algebraic geometry?
- The regularity of Tor and graded Betti Numbers
