On the Frobenius complexity of determinantal rings

DOI10.1016/j.jpaa.2017.04.011zbMath1401.13014arXiv1503.03164OpenAlexW2963716288MaRDI QIDQ2403983

Yongwei Yao, Florian Enescu

Publication date: 12 September 2017

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.03164

zbMATH Keywords

Frobenius complexityFrobenius operator

Mathematics Subject Classification ID

Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (6)

The Frobenius complexity of a local ring of prime characteristic ⋮ SYMBOLIC ANALYTIC SPREAD: UPPER BOUNDS AND APPLICATIONS ⋮ Fiber cones, analytic spreads of the canonical and anticanonical ideals and limit Frobenius complexity of Hibi rings ⋮ The Frobenius complexity of Hibi rings ⋮ Frobenius and Cartier algebras of Stanley-Reisner rings. II ⋮ Generating functions associated to Frobenius algebras

Cites Work

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• The Frobenius complexity of a local ring of prime characteristic
• The Frobenius structure of local cohomology
• \(F\)-signature of pairs and the asymptotic behavior of Frobenius splittings
• On the commutation of the test ideal with localization and completion
• Rings of Frobenius operators
• An excellent $F$-pure ring of prime characteristic has a big tight closure test element
• Test ideals in non-$\mathbb{Q}$-Gorenstein rings
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Frobenius maps on injective hulls and their applications to tight closure
• F-modules: applications to local cohomology and D-modules in characteristic p>0.

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