Local Okounkov bodies and limits in prime characteristic
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Publication:1784162
DOI10.1007/s00208-018-1651-6zbMath1405.13012arXiv1701.02575OpenAlexW2577616542MaRDI QIDQ1784162
Daniel J. Hernández, Jack Jeffries
Publication date: 26 September 2018
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.02575
Multiplicity theory and related topics (13H15) Valuation rings (13F30) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)
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Cites Work
- Unnamed Item
- Unnamed Item
- Asymptotic multiplicities of graded families of ideals and linear series
- Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
- Asymptotic multiplicities
- \(F\)-signature exists
- Multiplicities and Rees valuations
- An algebraic formula for the degree of a \(C^\infty\) map germ. Sur une inegalite a la Minkowski pour les multiplicites
- Some surprising Hilbert-Kunz functions
- Powers of ideals. Primary decompositions, Artin-Rees lemma and regularity
- Minimal relative Hilbert-Kunz multiplicity
- The \(F\)-signature and strong \(F\)-regularity.
- Local cohomology of Frobenius images over graded affine algebras
- \(F\)-signature of pairs and the asymptotic behavior of Frobenius splittings
- The F-signature of an affine semigroup ring
- Multiplicity and Hilbert-Kunz multiplicity of monoid rings.
- The Hilbert-Kunz function
- Two theorems about maximal Cohen-Macaulay modules
- On multiplicities of graded sequences of ideals.
- Brunn-Minkowski inequality for multiplicities
- Multiplicities associated to graded families of ideals
- Observations on the \(F\)-signature of local rings of characteristic \(p\)
- Convex bodies and multiplicities of ideals
- An observation on generalized Hilbert-Kunz functions
- Numerical criteria for integral dependence
- Convex bodies associated to linear series
- On Noetherian Rings of Characteristic p
- On a Theorem of B. Teissier on Multiplicities of Ideals in Local Rings
- Simplicity of Rings of Differential Operators in Prime Characteristic
- Linear Bounds on Growth of Associated Primes
- Uniform bounds in F-finite rings and lower semi-continuity of the F-signature
- Uniform approximation of Abhyankar valuation ideals in smooth function fields
- Hilbert–Kunz Multiplicity and the F-Signature
- Characterizations of Regular Local Rings of Characteristic p
- Completions of local morphisms and valuations.