The Limiting Shape of the Generic Initial System of a Complete Intersection

DOI10.1080/00927872.2012.758271zbMath1298.13021arXiv1202.1317OpenAlexW2004657962MaRDI QIDQ5412074

Sarah Mayes-Tang

Publication date: 25 April 2014

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

Full work available at URL: https://arxiv.org/abs/1202.1317

zbMATH Keywords

complete intersectionasymptoticgeneric initial idealmultiplier idealgraded system

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Graded rings (13A02) Multiplier ideals (14F18)

Related Items (5)

Asymptotic Hilbert polynomial and a bound for Waldschmidt constants ⋮ Symbolic generic initial systems of star configurations ⋮ The generic initial ideals of powers of a 2-complete intersection ⋮ Asymptotic Hilbert polynomials and limiting shapes ⋮ Axial constants and sectional regularity of homogeneous ideals

Uses Software

• Macaulay2

Cites Work

• A tour of the weak and strong Lefschetz properties
• A criterion for detecting m-regularity
• Some geometric results arising from the Borel fixed property
• Minimal resolutions of some monomial ideals
• Conditions for generic initial ideals to be almost reverse lexicographic
• Uniform bounds in noetherian rings
• On multiplicities of graded sequences of ideals.
• The generic initial ideals of powers of a 2-complete intersection
• Multiplier ideals of monomial ideals
• Betti numbers of graded modules and cohomology of vector bundles
• Bounds for multiplicities
• Uniform approximation of Abhyankar valuation ideals in smooth function fields
• Uniform bounds and symbolic powers on smooth varieties
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