Questions about Boij-S\"oderberg theory

zbMath1391.13021arXiv1606.01867MaRDI QIDQ4636229

Daniel Erman, Steven V. Sam

Publication date: 23 April 2018

Full work available at URL: https://arxiv.org/abs/1606.01867

zbMATH Keywords

Boij-Söderberg theoryBetti tablesgraded free resolutionscohomology tables

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (2)

Syzygies of \(\mathbb{P}^1 \times \mathbb{P}^1\): data and conjectures ⋮ Recursive strategy for decomposing Betti tables of complete intersections

Uses Software

• BoijSoederberg

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Triplets of pure free squarefree complexes
• Combinatorial interpretations of some Boij-Söderberg decompositions
• Betti diagrams from graphs
• Tensor complexes: multilinear free resolutions constructed from higher tensors
• Betti numbers of graded modules and the multiplicity conjecture in the non-Cohen-Macaulay case
• Non-simplicial decompositions of Betti diagrams of complete intersections
• Homology of analogues of Heisenberg Lie algebras
• The cone of Betti tables over three non-collinear points in the plane
• Pieri resolutions for classical groups.
• Graded syzygies
• Combinatorial aspects of commutative algebra and algebraic geometry. The Abel symposium 2009. Proceedings of the 6th Abel symposium, Voss, Norway, June 1--4, 2009
• The existence of equivariant pure free resolutions
• Asymptotic syzygies of algebraic varieties
• Algebraic vector bundles on projective spaces: A problem list
• Open problems on syzygies and Hilbert functions
• Cohomology of coherent sheaves and series of supernatural bundles
• Graded algebras of global dimension 3
• Stabilization of Boij-Söderberg decompositions of ideal powers
• The cone of Betti diagrams over a hypersurface ring of low embedding dimension
• Shapes of free resolutions over a local ring
• The banks of the cohomology river
• Free resolutions and sparse determinantal ideals
• The linear space of Betti diagrams of multigraded Artin modules
• A special case of the Buchsbaum-Eisenbud-Horrocks rank conjecture
• Asymptotics of random Betti tables
• Zipping Tate resolutions and exterior coalgebras
• A polynomial bound on the regularity of an ideal in terms of half of the syzygies
• Towards Boij-Söderberg theory for Grassmannians: the case of square matrices
• Three themes of syzygies
• Boij-S\"oderberg theory: Introduction and survey
• Boij–Söderberg Theory
• The Betti table of a high degree curve is asymptotically pure
• The cone of Betti tables over a rational normal curve
• The structure of the Boij-Söderberg posets
• Betti numbers of graded modules and cohomology of vector bundles
• Betti Numbers of Syzygies and Cohomology of Coherent Sheaves
• Foundations of Boij–Söderberg theory for Grassmannians
• Cones of Hilbert Functions
• Decompositions of Betti Diagrams of Powers of Monomial Ideals: A Stability Conjecture
• Graded Betti numbers of Cohen-Macaulay modules and the multiplicity conjecture
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Bounds for multiplicities
• Sheaf cohomology and free resolutions over exterior algebras
• The Geometry of Syzygies
• Resultants and Chow forms via exterior syzygies
• Three Flavors of Extremal Betti Tables
• Bounding Projective Dimension
• Filtering free resolutions
• Supernatural analogues of Beilinson monads

This page was built for publication: Questions about Boij-S\"oderberg theory