On the embedding dimension of an affine variety

DOI10.1007/BF01446563zbMath0725.14003OpenAlexW2081852751MaRDI QIDQ2277526

Vasudevan Srinivas

Publication date: 1991

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164772

zbMATH Keywords

embedding dimensionaffine varietyfinite system of generators

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Varieties and morphisms (14A10)

Related Items (31)

On the extension of bi-Lipschitz mappings ⋮ Algebraic embeddings of \(\mathbb{C}\) into \(\mathrm{SL}_{n}(\mathbb{C})\) ⋮ Analytic extensions of algebraic isomorphisms ⋮ Extensions of isomorphisms of subvarieties in flexible varieties ⋮ The epimorphism theorem and its generalizations ⋮ Existence of embeddings of smooth varieties into linear algebraic groups ⋮ Cotangent spaces and separating re-embeddings ⋮ Surjective morphisms from affine space to its Zariski open subsets ⋮ Holomorphic families of nonequivalent embeddings and of holomorphic group actions on affine space ⋮ Restricted Gröbner fans and re-embeddings of affine algebras ⋮ A unified approach to embeddings of a line in 3-space ⋮ Unnamed Item ⋮ Embeddings of affine spaces into quadrics ⋮ Exotic embeddings of open subsets of affine space ⋮ Jet groups ⋮ The Jacobian conjecture and the extensions of polynomial embeddings ⋮ Geometric degree of finite extensions of mappings from a smooth variety ⋮ Fat point embeddings in affine space ⋮ Smooth varieties up to \(\mathbb A^1\)-homotopy and algebraic \(h\)-cobordisms ⋮ Exotic embeddings of smooth affine varieties ⋮ Embeddings of hypersurfaces in affine spaces. ⋮ Triangular derivations related to problems on affine 𝑛-space ⋮ The strong Nagata conjecture ⋮ Homogeneous locally nilpotent derivations having slices and embeddings of affine spaces ⋮ Uniqueness of embeddings of the affine line into algebraic groups ⋮ On automorphisms of flexible varieties ⋮ Affine modifications and affine hypersurfaces with a very transitive automorphism group ⋮ Lines in affine toric varieties ⋮ Polynomial representations of knots ⋮ The Nagata Type Polynomial Automorphisms and Rectifiable Space Lines ⋮ Non-extendable isomorphisms between affine varieties

Cites Work

• The extension of regular and rational embeddings
• Linear codes and modular curves
• Über die Anzahl der Erzeugenden eines Ideals in einem Noetherschen Ring
• Zero-cycles, splitting of projective modules and number of generators of a module

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