Cotangent spaces and separating re-embeddings

DOI10.1142/S0219498822501882zbMath1495.13039arXiv2010.08378OpenAlexW3176175531MaRDI QIDQ5104153

Lorenzo Robbiano, Martin Kreuzer, Le Ngoc Long

Publication date: 9 September 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.08378

zbMATH Keywords

embedding dimensioncotangent spaceborder basis schemeaffine schemeGröbner basis Gröbner fan

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (1)

Restricted Gröbner fans and re-embeddings of affine algebras

Cites Work

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• The geometry of border bases
• Rational components of Hilbert schemes
• A description of certain affine open subschemes that form an open covering of \(\text{Hilb}^n_{\mathbb{A}^2_k}\).
• On the regularity of the monomial point of a border basis scheme
• Deformations of border bases
• On border basis and Gröbner basis schemes
• The Gröbner fan of an ideal
• A note on polynomial reduction
• The close relation between border and Pommaret marked bases
• On the embedding dimension of an affine variety
• The hypersurface 𝑥+𝑥²𝑦+𝑧²+𝑡³=0 over a field of arbitrary characteristic
• Homogeneous varieties for Hilbert schemes
• Computing subschemes of the border basis scheme

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