The close relation between border and Pommaret marked bases
From MaRDI portal
Publication:2131117
DOI10.1007/s13348-021-00313-wOpenAlexW3135380015MaRDI QIDQ2131117
Cristina Bertone, Francesca Cioffi
Publication date: 25 April 2022
Published in: Collectanea Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.14218
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Parametrization (Chow and Hilbert schemes) (14C05) Effectivity, complexity and computational aspects of algebraic geometry (14Q20)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gröbner strata in the Hilbert scheme of points
- Term-ordering free involutive bases
- The geometry of border bases
- Some syzygies of the generators of the ideal of a border basis scheme
- Rational components of Hilbert schemes
- Deformations of border bases
- An elementary construction of the multigraded Hilbert scheme of points
- A note on polynomial reduction
- Involutive bases of polynomial ideals
- Multivariate polynomial equations with multiple zeros solved by matrix eigenproblems
- Upgraded methods for the effective computation of marked schemes on a strongly stable ideal
- A Borel open cover of the Hilbert scheme
- A general framework for Noetherian well ordered polynomial reductions
- On almost revlex ideals with Hilbert function of complete intersections
- Combinatorial decompositions for monomial ideals
- Flat families by strongly stable ideals and a generalization of Gröbner bases
- Gröbner bases of ideals defined by functionals with an application to ideals of projective points
- Some elementary components of the Hilbert scheme of points
- Solving Polynomial Equation Systems
- Combinatorial Commutative Algebra
- Numerical Polynomial Algebra
- Smoothable Gorenstein Points Via Marked Schemes and Double-generic Initial Ideals
- Generalized normal forms and polynomial system solving
- Macaulay-like marked bases
This page was built for publication: The close relation between border and Pommaret marked bases
