The Gröbner fan of the Hilbert scheme
From MaRDI portal
Publication:2658534
DOI10.1007/s10231-020-01006-0zbMath1460.14011arXiv2002.08284OpenAlexW3041516718MaRDI QIDQ2658534
Publication date: 23 March 2021
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.08284
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Parametrization (Chow and Hilbert schemes) (14C05) Combinatorial aspects of commutative algebra (05E40)
Related Items (2)
Shift modules, strongly stable ideals, and their dualities ⋮ Hilbert schemes with two Borel-fixed points
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the functoriality of marked families
- Double-generic initial ideal and Hilbert scheme
- Segments and Hilbert schemes of points
- Rational components of Hilbert schemes
- Minimal resolutions of some monomial ideals
- On equations defining arithmetically Cohen-Macaulay schemes. III
- Hilbert schemes of 8 points
- The Gröbner fan of an ideal
- Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
- Borel sets and sectional matrices
- Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
- Upgraded methods for the effective computation of marked schemes on a strongly stable ideal
- Pathologies on the Hilbert scheme of points
- Flat families by strongly stable ideals and a generalization of Gröbner bases
- Strongly stable ideals and Hilbert polynomials
- Some elementary components of the Hilbert scheme of points
- Connectedness of Hilbert scheme
- The graph of monomial ideals
- Extensors and the Hilbert scheme
- Borel degenerations of arithmetically Cohen–Macaulay curves in ℙ3
- Algorithms for strongly stable ideals
- Computing Gröbner fans
- Sur le schéma de Hilbert des variétés de codimension $2$ dans $\mathbf{P}^e$ à cône de Cohen-Macaulay
- Betti numbers, castelnuovo mumford regularity, and generalisations of macaulay's theorem
- Multigraded Hilbert schemes
- Connectedness of Hilbert schemes
- The T-Graph of a Multigraded Hilbert Scheme
- Elementary components of Hilbert schemes of points
- An efficient implementation of the algorithm computing the Borel-fixed points of a Hilbert scheme
This page was built for publication: The Gröbner fan of the Hilbert scheme