Numerical criteria for integral dependence

By Bernd Ulrich, Javid Validashti. Mathematical Proceedings of the Cambridge Philosophical Society, 2011

47 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/4eb4a409ef60084be7aef7d8d9b200f9ed51e931

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In Algebra and Number Theory

1. Steven Dale Cutkosky
2. Shreeram S. Abhyankar
3. Chi Li
4. Kiumars Kaveh
5. Askold Khovanskii
6. Franz-Viktor Kuhlmann

In Computational Theory and Mathematics

1. Steven Dale Cutkosky
2. Chi Li
3. Kiumars Kaveh
4. Askold Khovanskii
5. Franz-Viktor Kuhlmann

Citations in the corpus

• Asymptotic Multiplicities of Graded Families of Ideals and Linear Series (2014, background): “Since (In)sat/In ∼= H0mR(R/I n), the epsilon multiplicity of Ulrich and Validashti [39] ε(I) = lim sup ℓR(H 0 mR(R/I n)) nd/d! exists as a limit, under the assumptions of Corollary 6.3.”
• Multiplicities associated to graded families of ideals (2012, background): “Since (In)sat/In ∼= H0 mR(R/I n), the epsilon multiplicity of Ulrich and Validashti [30]”