Hilbert Series of Generic Ideals in Products of Projective Spaces

DOI10.1080/10586458.2021.1925999zbMath1506.13017arXiv2102.11516OpenAlexW3170187301MaRDI QIDQ5056346

Ralf Fröberg

Publication date: 8 December 2022

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.11516

zbMATH Keywords

Hilbert seriesgeneric ideals\(\mathbb{P}^1 \times \mathbb{P}^1\)

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Other special types of modules and ideals in commutative rings (13C13)

Cites Work

• A note on Fröberg's conjecture for forms of equal degrees
• Thin algebras of embedding dimension three
• On Hilbert series for commutative and noncommutative graded algebras
• Hilbert series for ideals generated by generic forms
• The geometric interpretation of Fröberg-Iarrobino conjectures on infinitesimal neighbourhoods of points in projective space
• Ideals of general forms and the ubiquity of the weak Lefschetz property.
• On a class of power ideals
• An inequality for Hilbert series of graded algebras.
• THE LINEAR SYZYGIES OF GENERIC FORMS
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
• On the Hilbert series of ideals generated by generic forms
• Questions and conjectures on extremal Hilbert series
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