scientific article; zbMATH DE number 1163418

zbMath0919.13017MaRDI QIDQ4394950

Michael Stillman, Marc Green

Publication date: 12 August 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

regularitylexicographic orderGröbner basisHilbert functionexterior algebraBetti numbersgeneric initial idealreverse lexicographic orderBorel-fixed

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) (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 (6)

ACTION OF THE BOREL GROUP ON MONOMIAL IDEALS ⋮ Koszul homology and extremal properties of Gin and Lex ⋮ Some geometric results arising from the Borel fixed property ⋮ The asymptotic behaviour of symbolic generic initial systems of generic points ⋮ Asymptotic invariants constructed from generic initial ideals ⋮ Applications of bar code to involutive divisions and a ``greedy algorithm for complete sets

Uses Software

• Macaulay2

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