Asymptotic Hilbert polynomials and limiting shapes

DOI10.1016/j.jpaa.2015.02.026zbMath1327.13099arXiv1407.0544OpenAlexW2088320462MaRDI QIDQ2348117

Halszka Tutaj-Gasińska, Justyna Szpond, Marcin Dumnicki

Publication date: 10 June 2015

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

Full work available at URL: https://arxiv.org/abs/1407.0544

zbMATH Keywords

limiting shapesasymptotic Hilbert function and polynomialsymbolic generic initial systems

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Configurations and arrangements of linear subspaces (14N20)

Related Items (4)

Lower bounds for Waldschmidt constants of generic lines in \({\mathbb {P}}^3\) and a Chudnovsky-type theorem ⋮ Asymptotic Hilbert polynomial and a bound for Waldschmidt constants ⋮ Asymptotic invariants constructed from generic initial ideals ⋮ Axial constants and sectional regularity of homogeneous ideals

Cites Work

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• Uniform bounds and symbolic powers on smooth varieties

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