Finiteness of Hilbert functions and bounds for Castelnuovo-Mumford regularity of initial ideals
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Publication:3522278
DOI10.1090/S0002-9947-08-04424-3zbMath1148.13009arXivmath/0608118MaRDI QIDQ3522278
Publication date: 1 September 2008
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0608118
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Local cohomology and commutative rings (13D45)
Related Items (6)
Effective computation of Picard groups and Brauer-Manin obstructions of degree two \(K3\) surfaces over number fields ⋮ Boundedness of cohomology ⋮ Non-linear behaviour of Castelnuovo-Mumford regularity ⋮ Castelnuovo-Mumford regularity of Ext modules and homological degree ⋮ Castelnuovo-Mumford regularity of deficiency modules ⋮ Bounds on the torsion subgroup schemes of Néron-Severi group schemes
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