Macaulay-like marked bases
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Publication:5739070
DOI10.1142/S0219498817501006zbMath1428.13045arXiv1211.7264OpenAlexW3100281990MaRDI QIDQ5739070
Margherita Roggero, Francesca Cioffi, Cristina Bertone
Publication date: 2 June 2017
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.7264
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 (9)
The close relation between border and Pommaret marked bases ⋮ Smoothable Gorenstein Points Via Marked Schemes and Double-generic Initial Ideals ⋮ On almost revlex ideals with Hilbert function of complete intersections ⋮ Functors of liftings of projective schemes ⋮ Combinatorial decompositions for monomial ideals ⋮ A general framework for Noetherian well ordered polynomial reductions ⋮ Toward involutive bases over effective rings ⋮ Computing quot schemes via marked bases over quasi-stable modules ⋮ Strongly stable ideals and Hilbert polynomials
Cites Work
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- On the functoriality of marked families
- Term-ordering free involutive bases
- Double-generic initial ideal and Hilbert scheme
- A criterion for detecting m-regularity
- Segments and Hilbert schemes of points
- Rational components of Hilbert schemes
- Quasi-stable ideals and Borel-fixed ideals with a given Hilbert polynomial
- On border basis and Gröbner basis schemes
- A combinatorial approach to involution and \(\delta \)-regularity. II: Structure analysis of polynomial modules with Pommaret bases
- A combinatorial approach to involution and \(\delta \)-regularity. I: Involutive bases in polynomial algebras of solvable type
- Hilbert schemes of 8 points
- Gröbner bases and Hilbert schemes. I
- On the complexity of computing syzygies
- A note on upper bounds for ideal-theoretic problems
- Lectures on deformations of singularities. Notes by C. S. Seshadri, Allen Tannenbaum
- Some complexity results for polynomial ideals
- A note on polynomial reduction
- Involutive bases of polynomial ideals
- A stratification of Hilbert schemes by initial ideals and applications
- Upgraded methods for the effective computation of marked schemes on a strongly stable ideal
- A Borel open cover of the Hilbert scheme
- Flat families by strongly stable ideals and a generalization of Gröbner bases
- Saturation and Castelnuovo-Mumford regularity
- Ideals with an assigned initial ideal
- Homogeneous varieties for Hilbert schemes
- The Geometry of Schemes
- What can be computed in algebraic geometry?
- An efficient implementation of the algorithm computing the Borel-fixed points of a Hilbert scheme
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