Gröbner strata in the Hilbert scheme of points

DOI10.1216/JCA-2011-3-3-349zbMath1237.14012arXiv0907.0302OpenAlexW2963398016MaRDI QIDQ412551

Mathias Lederer

Publication date: 4 May 2012

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

Full work available at URL: https://arxiv.org/abs/0907.0302

zbMATH Keywords

Gröbner basesHilbert scheme of pointsstandard setslocally closed strata

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (5)

The close relation between border and Pommaret marked bases ⋮ On the functoriality of marked families ⋮ The scheme of liftings and applications ⋮ Functors of liftings of projective schemes ⋮ Explicit projective embeddings of standard opens of the Hilbert scheme of points

Uses Software

• Macaulay2

Cites Work

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• The Geometry of Schemes
• Multigraded Hilbert schemes
• Reduction Mod p of Standard Bases
• Algebraic Families on an Algebraic Surface

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