Upper bound of multiplicity of F-pure rings

DOI10.1090/proc/12851zbMath1348.13032arXiv1310.0584OpenAlexW1562210325MaRDI QIDQ3450049

Craig Huneke, Kei- ichi Watanabe

Publication date: 2 November 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.0584

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Singularities in algebraic geometry (14B05) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (14)

A Castelnuovo-Mumford regularity bound for threefolds with rational singularities ⋮ Upper bound of the multiplicity of a Du Bois singularity ⋮ On the behavior of \(F\)-signatures, splitting primes, and test modules under finite covers ⋮ On the existence of 𝐹-thresholds and related limits ⋮ Thick subcategories over isolated singularities ⋮ Compatible ideals in ℚ-Gorenstein rings ⋮ Openness of splinter loci in prime characteristic ⋮ The Cartier core map for Cartier algebras ⋮ Multiplicity bounds in prime characteristic ⋮ Homogeneous prime elements in normal two-dimensional graded rings ⋮ Local rings with quasi-decomposable maximal ideal ⋮ The multiplicity and the number of generators of an integrally closed ideal ⋮ Upper bound of multiplicity in prime characteristic ⋮ Lower bounds on Hilbert–Kunz multiplicities and maximal F-signatures

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