Categorified duality in Boij-Söderberg theory and invariants of free complexes
From MaRDI portal
Publication:2403281
DOI10.4171/JEMS/725zbMath1453.13042arXiv1205.0449MaRDI QIDQ2403281
Publication date: 8 September 2017
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.0449
Syzygies, resolutions, complexes and commutative rings (13D02) Derived categories and commutative rings (13D09) Derived categories, triangulated categories (18G80) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)
Related Items
Towards Boij-Söderberg theory for Grassmannians: the case of square matrices ⋮ Asymptotic syzygies of secant varieties of curves ⋮ Supernatural analogues of Beilinson monads ⋮ Lim Ulrich sequences and Boij-Söderberg cones ⋮ Lim Ulrich sequences and Lech's conjecture ⋮ Decomposition of graded local cohomology tables ⋮ The cone of Betti tables over three non-collinear points in the plane ⋮ Ulrich sheaves and higher-rank Brill-Noether theory ⋮ Three themes of syzygies ⋮ Syzygies of \(\mathbb{P}^1 \times \mathbb{P}^1\): data and conjectures ⋮ Foundations of Boij–Söderberg theory for Grassmannians
Uses Software
Cites Work
- Combinatorial interpretations of some Boij-Söderberg decompositions
- Tensor complexes: multilinear free resolutions constructed from higher tensors
- Betti numbers of graded modules and the multiplicity conjecture in the non-Cohen-Macaulay case
- Pieri resolutions for classical groups.
- 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
- Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
- Linear maximal Cohen-Macaulay modules over strict complete intersections
- Cohomology of coherent sheaves and series of supernatural bundles
- On a theorem of Castelnuovo, and the equations defining space curves
- The cone of Betti diagrams over a hypersurface ring of low embedding dimension
- Shapes of free resolutions over a local ring
- The semigroup of Betti diagrams
- The linear space of Betti diagrams of multigraded Artin modules
- Boij-S\"oderberg theory: Introduction and survey
- Boij–Söderberg Theory
- The cone of Betti tables over a rational normal curve
- Betti numbers of graded modules and cohomology of vector bundles
- Betti Numbers of Syzygies and Cohomology of Coherent Sheaves
- Graded Betti numbers of Cohen-Macaulay modules and the multiplicity conjecture
- Sheaf cohomology and free resolutions over exterior algebras
- Resultants and Chow forms via exterior syzygies
- Filtering free resolutions
- A Kleiman–Bertini theorem for sheaf tensor products
