Uniform equivalence of symbolic and adic topologies

zbMath1200.13007MaRDI QIDQ2267702

Daniel Katz, Javid Validashti, Craig Huneke

Publication date: 1 March 2010

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1264170853

zbMATH Keywords

uniform equivalenceChevalley's Theoremequivalence of ideal topologiesuniform Artin-Rees Lemma

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Computational aspects and applications of commutative rings (13P99) Ideals and multiplicative ideal theory in commutative rings (13A15) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (17)

On the equivalence of the integral symbolic and adic topologies ⋮ Symbolic Rees Algebras ⋮ A uniform Chevalley theorem for direct summands of polynomial rings in mixed characteristic ⋮ Uniform symbolic topologies in normal toric rings ⋮ The analogue of Izumi's Theorem for Abhyankar valuations ⋮ Uniform symbolic topologies via multinomial expansions ⋮ On the equality of ordinary and symbolic powers of ideals ⋮ Symbolic power containments in singular rings in positive characteristic ⋮ Uniform bounds on symbolic powers ⋮ The mathematical contributions of Craig Huneke ⋮ Uniform symbolic topologies and finite extensions ⋮ Expected resurgences and symbolic powers of ideals ⋮ Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers ⋮ Corrigendum to ``Uniform symbolic topologies and finite extensions ⋮ The uniform symbolic topology property for diagonally \(F\)-regular algebras ⋮ Uniform symbolic topologies in abelian extensions ⋮ Quantifying singularities with differential operators

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• Characterizations of Regular Local Rings of Characteristic p
• Discrete valuations centered on local domains
• Uniform bounds and symbolic powers on smooth varieties
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