Big Cohen-Macaulay and seed algebras in equal characteristic zero via ultraproducts

DOI10.1216/JCA-2019-11-4-511zbMath1477.13027arXiv1608.08193MaRDI QIDQ2281463

Rebecca R. G., Geoffrey D. Dietz

Publication date: 3 January 2020

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

Full work available at URL: https://arxiv.org/abs/1608.08193

zbMATH Keywords

tight closureultraproductsbig Cohen-Macaulay algebrasequal characteristic zero

Mathematics Subject Classification ID

Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Cohen-Macaulay modules (13C14)

Related Items (4)

On the canonical, fpqc, and finite topologies on affine schemes. The state of the art ⋮ BIG COHEN–MACAULAY TEST IDEALS IN EQUAL CHARACTERISTIC ZERO VIA ULTRAPRODUCTS ⋮ Closure operations that induce big Cohen-Macaulay algebras ⋮ Characteristic-free test ideals

Cites Work

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• A guide to closure operations in commutative algebra
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Big Cohen-Macaulay algebras and seeds
• Log-terminal singularities and vanishing theorems via non-standard tight closure

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