Uniform symbolic topologies and finite extensions

DOI10.1016/j.jpaa.2014.05.012zbMath1304.13002OpenAlexW2055584587MaRDI QIDQ472998

Daniel Katz, Javid Validashti, Craig Huneke

Publication date: 21 November 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2014.05.012

zbMATH Keywords

symbolic powerNoetherianacceptable ringsfinite ring extensionuniform symbolic topology

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Graded rings (13A02)

Related Items (8)

Symbolic Rees Algebras ⋮ A uniform Chevalley theorem for direct summands of polynomial rings in mixed characteristic ⋮ Uniform symbolic topologies in normal toric rings ⋮ Uniform symbolic topologies via multinomial expansions ⋮ The mathematical contributions of Craig Huneke ⋮ Corrigendum to ``Uniform symbolic topologies and finite extensions ⋮ Uniform symbolic topologies in abelian extensions ⋮ Quantifying singularities with differential operators

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• Comparing powers and symbolic powers of ideals
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• Symbolic powers of prime ideals with applications to hypersurface rings
• Asymptotic Stability of Ass(M/I n M)
• On prime divisors of \(I^n\), \(n\) large
• Uniform bounds and symbolic powers on smooth varieties

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