The asymptotic behaviour of symbolic generic initial systems of generic points

DOI10.1016/j.jpaa.2013.06.002zbMath1283.13025arXiv1210.1622OpenAlexW2088578060MaRDI QIDQ392427

Sarah Mayes-Tang

Publication date: 14 January 2014

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

Full work available at URL: https://arxiv.org/abs/1210.1622

zbMATH Keywords

Newton polytopegeneric initial idealsfat point idealsgraded sequence of zero dimensional ideals

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Linkage, complete intersections and determinantal ideals (13C40) 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) Graded rings (13A02)

Related Items (8)

The symbolic generic initial system of almost linear point configurations in \(\mathbb P^2\) ⋮ Convex bodies and asymptotic invariants for powers of monomial ideals ⋮ Asymptotic Hilbert polynomial and a bound for Waldschmidt constants ⋮ Asymptotic invariants constructed from generic initial ideals ⋮ Symbolic generic initial systems of star configurations ⋮ Inductively computable unions of fat linear subspaces ⋮ Asymptotic Hilbert polynomials and limiting shapes ⋮ Axial constants and sectional regularity of homogeneous ideals

Cites Work

• A criterion for detecting m-regularity
• Nagata's conjecture for a square or nearly-square number of points
• Computing multi-point seshadri constants on \(\mathbb{P}^2\)
• A theorem on refining division orders by the reverse lexicographic order
• An algebraic approach to the regularity index of fat points in \(P^ n\)
• On multiplicities of graded sequences of ideals.
• Multiplier ideals of monomial ideals
• On rational surfaces, II
• Comparing powers and symbolic powers of ideals
• Bounds for multiplicities
• Seshadri constants and very ample divisors on algebraic surfaces
• Uniform approximation of Abhyankar valuation ideals in smooth function fields
• Resolutions of ideals of quasiuniform fat point subschemes of 𝐏²
• Rational surfaces with $K^2>0$
• Regina Lectures on Fat Points
• Variations on Nagata's Conjecture
• Uniform bounds and symbolic powers on smooth varieties
• Resolutions of fat points ideals involving eight general point of \(\mathbb{P}^2\)
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