The information encoded in initial ideals

DOI10.1090/S0002-9947-00-02737-9zbMath0966.13012MaRDI QIDQ2701664

Gunnar Fløystad, Mark L. Green

Publication date: 19 February 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hilbert functionHartshorne-Rao modulespace curvesgeneric initial idealmonomial order3-spacereverse lexicographic orderinitial modulegeneric higher initial ideal

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) Plane and space curves (14H50) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (6)

Some geometric results arising from the Borel fixed property ⋮ Zero-generic initial ideals ⋮ On the componentwise linearity and the minimal free resolution of a tetrahedral curve ⋮ Generic Initial Ideals of Arithmetically Cohen–Macaulay Projective Subschemes ⋮ Bounds on the Rao function ⋮ Curves on normal surfaces

Cites Work

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• A criterion for detecting m-regularity
• A property deducible from the generic initial ideal
• Genre des courbes de l'espace projectif. II
• Higher initial ideals of homogeneous ideals
• The Connectedness of Space Curve Invariants

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