Some properties of Borel ideals

DOI10.1016/S0022-4049(99)00011-0zbMath0929.13012OpenAlexW2018129934MaRDI QIDQ1295788

Maria Grazia Marinari, Luciana Ramella

Publication date: 21 October 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(99)00011-0

zbMATH Keywords

monomial idealsgeneric initial idealsBorel idealsordering on monomials

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (9)

Minimal Castelnuovo–Mumford Regularity for a Given Hilbert Polynomial ⋮ On almost revlex ideals with Hilbert function of complete intersections ⋮ Segments and Hilbert schemes of points ⋮ Rational components of Hilbert schemes ⋮ Generic initial ideals of points and curves ⋮ On an extension of Galligo's theorem concerning the Borel-fixed points on the Hilbert scheme ⋮ Minimal Graded Betti Numbers and Stable Ideals ⋮ Grothendieck–Plücker Images of Hilbert Schemes are Degenerate ⋮ A characterization of stable and Borel ideals

Cites Work

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• Connectedness of Hilbert scheme
• On the Resolution of Certain Graded Algebras
• Upper bounds for the betti numbers of a given hilbert function
• Maximum betti numbers of homogeneous ideals with a given hilbert function

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