Numerical criteria for integral dependence
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Publication:3006532
DOI10.1017/S0305004111000144zbMath1220.13006MaRDI QIDQ3006532
Javid Validashti, Bernd Ulrich
Publication date: 20 June 2011
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Multiplicity theory and related topics (13H15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Integral dependence in commutative rings; going up, going down (13B21)
Related Items (19)
Epsilon multiplicity for Noetherian graded algebras ⋮ Some extensions of Hilbert-Kunz multiplicity ⋮ Integral Closure ⋮ Asymptotic multiplicities of graded families of ideals and linear series ⋮ On the equality of ordinary and symbolic powers of ideals ⋮ Epsilon multiplicity and analytic spread of filtrations ⋮ Multiplicity sequence and integral dependence ⋮ On a transform of an acyclic complex of length 3 ⋮ Relative multiplicities of graded algebras ⋮ Asymptotic multiplicities ⋮ Length of local cohomology of powers of ideals ⋮ On the length function of saturations of ideal powers ⋮ Local Okounkov bodies and limits in prime characteristic ⋮ Generalized multiplicities of edge ideals ⋮ Epsilon multiplicity for graded algebras ⋮ Growth of multiplicities of graded families of ideals ⋮ Cohen-Macaulay fiber cones and defining ideal of Rees algebras of modules ⋮ Prime filtrations of the powers of an ideal ⋮ Multiplicities of classical varieties
Cites Work
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- Relative multiplicities of graded algebras
- A criterion for integral dependence of modules
- Krull dimension and integrality of symmetric algebras
- Codimension, multiplicity and integral extensions
- Asymptotic Behavior of the Length of Local Cohomology
- Asymptotic growth of algebras associated to powers of ideals
- Hilbert polynomials and powers of ideals
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