On the monotonicity of Hilbert functions

DOI10.4171/RSMUP/11zbMath1418.13006arXiv1501.07395OpenAlexW2963755481MaRDI QIDQ2313570

Tony Joseph Puthenpurakal

Publication date: 19 July 2019

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.07395

zbMATH Keywords

Hilbert functionsblow-up algebras

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Local cohomology and commutative rings (13D45) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (3)

On the Hilbert series of the tangent cones for some 4-generated pseudosymmetric monomial curves ⋮ One-dimensional Gorenstein local rings with decreasing Hilbert function ⋮ 4-generated pseudo symmetric monomial curves with not Cohen–Macaulay tangent cones

Cites Work

• The conjecture of Sally on the Hilbert function for curve singularities
• One-dimensional local rings with reduced associated graded ring and their Hilbert functions
• Pseudo-rational local rings and a theorem of Briancon-Skoda about integral closures of ideals
• A note on the Hilbertfunction of a one-dimensional Cohen-Macaulay ring
• Hilbert coefficients of a Cohen-Macaulay module.
• One-dimensional Gorenstein local rings with decreasing Hilbert function
• The Hilbert function of a maximal Cohen-Macaulay module. II.
• Cartesian squares and ordinary singularities of curves
• Stable Ideals and Arf Rings

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