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Creators/Authors contains: "Das, Sudipta"

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  1. (, Proceedings of the American Mathematical Society)
    In this article, we work with certain families of ideals called p p -families in rings of prime characteristic. This family of ideals is present in the theories of tight closure, Hilbert-Kunz multiplicity, and F F -signature. For each p p -family of ideals, we attach an Euclidean object called p p -body, which is analogous to the Newton Okounkov body associated with a graded family of ideals. Using the combinatorial properties of p p -bodies and algebraic properties of the Hilbert-Kunz multiplicity, we establish a Volume = Multiplicity formula for p p -families of m R \mathfrak {m}_{R} -primary ideals in a Noetherian local ring R R . 
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  2. ; ; ; ; ; ; ; ; ; ; et al (, Journal of High Energy Astrophysics)
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