Generic Initial Ideals of Arithmetically Cohen–Macaulay Projective Subschemes

DOI10.1080/00927870701329126zbMath1118.13011OpenAlexW2100484708MaRDI QIDQ5756481

Young Hyun Cho, Jung Pil Park, Hyang Mi Cho

Publication date: 4 September 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870701329126

zbMATH Keywords

regularitydegreeHilbert functionminimal system of generatorsarithmetic genusarithmetically Cohen-Macaulay schemeBorel-fixed monomial idealgeneric initial idea

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (3)

Zero-generic initial ideals ⋮ Conditions for generic initial ideals to be almost reverse lexicographic ⋮ Generic initial ideals of Artinian ideals having Lefschetz properties or the strong Stanley property

Cites Work

• A criterion for detecting m-regularity
• Linear free resolutions and minimal multiplicity
• Some geometric results arising from the Borel fixed property
• Minimal resolutions of some monomial ideals
• A theorem on refining division orders by the reverse lexicographic order
• The information encoded in initial ideals
• Genre des courbes de l'espace projectif. II
• CASTELNUOVO-Regularität und HILBERTreihen
• Bounds for multiplicities
• A smooth surface in P4 not of general type has degree at most 66
• The Connectedness of Space Curve Invariants
• The Geometry of Syzygies

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