A Frobenius Characterization of Rational Singularity in 2-Dimensional Graded Rings

DOI10.2307/2154671zbMath0792.14002OpenAlexW4254429938MaRDI QIDQ4277291

Richard Fedder

Publication date: 25 July 1994

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

Full work available at URL: https://doi.org/10.2307/2154671

zbMATH Keywords

characteristic \(p\)tight closurerational singularitygraded ring

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Integral closure of commutative rings and ideals (13B22) Graded rings (13A02) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (3)

Classification of two-dimensional F-regular and F-pure singularities ⋮ Geometric interpretation of tight closure and test ideals ⋮ The injectivity of Frobenius acting on cohomology and local cohomology modules

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