A hyperplane restriction theorem and applications to reductions of ideals

DOI10.1090/bproc/103OpenAlexW3157809487WikidataQ113823171 ScholiaQ113823171MaRDI QIDQ5094194

Giulio Caviglia

Publication date: 2 August 2022

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.11836

zbMATH Keywords

reductionjoint reductionMacaulay's theoremgeneral hyperplane restriction

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Polynomials, factorization in commutative rings (13P05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Prestable ideals
• Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
• Borel-fixed ideals and reduction number.
• Eakin-Sathaye-type theorems for joint reductions and good filtrations of ideals
• Around the Eakin-Sathaye theorem
• ON HILBERT FUNCTIONS OF GENERAL INTERSECTIONS OF IDEALS
• Noether normalizations, reductions of ideals, and matroids
• Koszul homology and extremal properties of Gin and Lex

This page was built for publication: A hyperplane restriction theorem and applications to reductions of ideals