On the functoriality of marked families

DOI10.1216/JCA-2016-8-3-367zbMath1348.14010arXiv1307.7657OpenAlexW2963277385MaRDI QIDQ311785

Margherita Roggero, Paolo Lella

Publication date: 13 September 2016

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.7657

zbMATH Keywords

Hilbert schemesBorel-fixed idealsmarked families

Mathematics Subject Classification ID

Computational aspects and applications of commutative rings (13P99) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (11)

The Gröbner fan of the Hilbert scheme ⋮ The scheme of liftings and applications ⋮ Functors of liftings of projective schemes ⋮ Term-ordering free involutive bases ⋮ Bar code for monomial ideals ⋮ A general framework for Noetherian well ordered polynomial reductions ⋮ Macaulay-like marked bases ⋮ Computing quot schemes via marked bases over quasi-stable modules ⋮ Strongly stable ideals and Hilbert polynomials ⋮ The Locus of Points of the Hilbert Scheme with Bounded Regularity ⋮ Hilbert schemes with two Borel-fixed points

Cites Work

• Unnamed Item
• Algebraic geometry and the ongoing unification of mathematics: explaining Deligne to a broad audience
• Gröbner strata in the Hilbert scheme of points
• Segments and Hilbert schemes of points
• Rational components of Hilbert schemes
• Minimal resolutions of some monomial ideals
• Gröbner bases and Hilbert schemes. I
• Generic finite schemes and Hochschild cocycles
• On lucky ideals for Gröbner basis computations
• Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
• A note on polynomial reduction
• 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
• Gröbner bases for families of affine or projective schemes
• Connectedness of Hilbert scheme
• Extensors and the Hilbert scheme
• The Geometry of Syzygies
• Multigraded Hilbert schemes
• An efficient implementation of the algorithm computing the Borel-fixed points of a Hilbert scheme
• Reduction Mod p of Standard Bases
• The Locus of Points of the Hilbert Scheme with Bounded Regularity

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