Gröbner bases, local cohomology and reduction number
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Publication:4510042
DOI10.1090/S0002-9939-00-05503-9zbMath0959.13008arXivmath/0210079OpenAlexW1869995893MaRDI QIDQ4510042
Publication date: 19 October 2000
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0210079
Gröbner basesCastelnuovo-Mumford regularityinitial ideallocal cohomologyreduction numberBorel fixed ideal
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Local cohomology and commutative rings (13D45)
Related Items
Reduction numbers and initial ideals ⋮ Asymptotic behavior of reduction numbers ⋮ Depth and regularity modulo a principal ideal ⋮ The lex-plus-powers inequality for local cohomology modules ⋮ Quasi-stability versus Genericity ⋮ Zero-generic initial ideals ⋮ Borel-fixed ideals and reduction number. ⋮ On the reduction numbers of monomial ideals ⋮ Regularity,a*-Invariant and the Associated Graded Module to a Filtration ⋮ Partial Castelnuovo–Mumford regularities of sums and intersections of powers of monomial ideals ⋮ Evaluations of initial ideals and Castelnuovo-Mumford regularity ⋮ Asymptotic linear bounds for the Castelnuovo-Mumford regularity ⋮ Initial ideals of Borel type ⋮ Partial regularities and a*-invariants of Borel type ideals ⋮ Axial constants and sectional regularity of homogeneous ideals
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