Bounds on the Castelnuovo-Mumford regularity of tensor products
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Publication:3432749
DOI10.1090/S0002-9939-07-08222-6zbMath1183.13024arXivmath/0510395MaRDI QIDQ3432749
Publication date: 18 April 2007
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0510395
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Syzygies, resolutions, complexes and commutative rings (13D02) Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)
Related Items (18)
On the regularity of product of irreducible monomial ideals ⋮ Koszul Cycles ⋮ Implicitization of de Jonquières parametrizations ⋮ Regularity bounds for complexes and their homology ⋮ The banks of the cohomology river ⋮ On the Castelnuovo-Mumford regularity of connected curves ⋮ Products of ideals of linear forms in quadric hypersurfaces ⋮ Generalized local cohomology and regularity of Ext modules ⋮ Castelnuovo-Mumford regularity and arithmetic Cohen-Macaulayness of complete bipartite subspace arrangements ⋮ On the Regularity of Operations of Ideals ⋮ Ample filters and Frobenius amplitude ⋮ Regulating Hartshorne's connectedness theorem ⋮ Boundedness of cohomology ⋮ Linearization of resolutions via products ⋮ Regularity bounds for Koszul cycles ⋮ Castelnuovo-Mumford regularity of deficiency modules ⋮ Bounds for the regularity of product of edge ideals ⋮ The (ir)regularity of Tor and Ext
Cites Work
- Modules over unramified regular local rings
- Graded Betti numbers of some embedded rational \(n\)-folds
- Four counterexamples in combinatorial algebraic geometry
- Castelnuovo-Mumford regularity of products of ideals
- On the CastelnuovoMumford regularity of products of ideal sheaves
- Regularity of the powers of an ideal
- What can be computed in algebraic geometry?
- Lectures on Curves on an Algebraic Surface. (AM-59)
- On the Castelnuovo-Mumford regularity of connected curves
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