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LEFSCHETZ PRINCIPLE APPLIED TO SYMBOLIC POWERS

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Publication:4474463
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DOI10.1142/S0219498803000490zbMath1095.13031MaRDI QIDQ4474463

Hans Schoutens

Publication date: 12 July 2004

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


zbMATH Keywords

symbolic powersnon-standard methods


Mathematics Subject Classification ID

Decidability and field theory (12L05) Applications of logic to commutative algebra (13L05)


Related Items (6)

Dimension and singularity theory for local rings of finite embedding dimension ⋮ Lefschetz extensions, tight closure and big Cohen-Macaulay algebras ⋮ Pure subrings of regular rings are pseudo-rational ⋮ Prime ideals in ultraproducts of commutative rings ⋮ Log-terminal singularities and vanishing theorems via non-standard tight closure ⋮ Computing the minimal number of equations defining an affine curve ideal-theoretically



Cites Work

  • Unnamed Item
  • Comparison of symbolic and ordinary powers of ideals.
  • Bounds in cohomology
  • A non-standard proof of the Briançon-Skoda theorem
  • Uniform bounds and symbolic powers on smooth varieties


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