Gröbner bases of generic ideals
From MaRDI portal
Publication:6187299
DOI10.1016/j.jalgebra.2023.11.022arXiv1711.05309OpenAlexW2769785266MaRDI QIDQ6187299
Shuhong Gao, Juliane Capaverde
Publication date: 15 January 2024
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.05309
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)
Cites Work
- Unnamed Item
- Unnamed Item
- On the weak Lefschetz property for powers of linear forms
- A note on Fröberg's conjecture for forms of equal degrees
- Conditions for generic initial ideals to be almost reverse lexicographic
- Generic sequences of polynomials
- Thin algebras of embedding dimension three
- Hilbert functions of graded algebras
- Hilbert series for ideals generated by generic forms
- The initial ideal of generic sequences and Fröberg's conjecture
- Degrevlex Gröbner bases of generic complete intersections.
- Hilbert series of a quotient algebra of polynomials
- On a class of power ideals
- A new incremental algorithm for computing Groebner bases
- Generic ideals and Moreno-Socías conjucture
- Generic Initial Ideals, Graded Betti Numbers, andk-Lefschetz Properties
- An inequality for Hilbert series of graded algebras.
- On the Hilbert series of ideals generated by generic forms
This page was built for publication: Gröbner bases of generic ideals