Measuring Singularities with Frobenius: The Basics

DOI10.1007/978-1-4614-5292-8_3zbMath1274.13007arXiv1309.4814OpenAlexW1887065106WikidataQ61835568 ScholiaQ61835568MaRDI QIDQ4915753

Karen E. Smith, Eleonore Faber, Angélica Benito Sualdea

Publication date: 12 April 2013

Published in: Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4814

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Multiplier ideals (14F18)

Related Items (16)

Lower bounds on the F-pure threshold and extremal singularities ⋮ Legendre polynomials roots and the \(F\)-pure threshold of bivariate forms ⋮ On the existence of 𝐹-thresholds and related limits ⋮ Local 𝔪-adic constancy of F-pure thresholds and test ideals ⋮ Hilbert-Kunz multiplicities and \(F\)-thresholds ⋮ 𝐹-thresholds and test ideals of Thom-Sebastiani type polynomials ⋮ \(F\)-jumping and \(F\)-Jacobian ideals for hypersurfaces ⋮ Gorenstein binomial edge ideals ⋮ Values of the F‐pure threshold for homogeneous polynomials ⋮ Frobenius methods in combinatorics ⋮ Finiteness of leaps in the sense of Hasse-Schmidt of unibranch curves in positive characteristic ⋮ Geometry of smooth extremal surfaces ⋮ -PURITY VERSUS LOG CANONICITY FOR POLYNOMIALS ⋮ \(F\)-invariants of Stanley-Reisner rings ⋮ An elementary computation of the \(F\)-pure threshold of an elliptic curve ⋮ Poincaré series of multiplier and test ideals

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