BIG COHEN–MACAULAY TEST IDEALS IN EQUAL CHARACTERISTIC ZERO VIA ULTRAPRODUCTS
From MaRDI portal
Publication:6047162
DOI10.1017/nmj.2022.41arXiv2207.04247OpenAlexW4312051973MaRDI QIDQ6047162
Publication date: 7 September 2023
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.04247
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nilpotence of Frobenius action and the Hodge filtration on local cohomology
- Discreteness and rationality of \(F\)-jumping numbers on singular varieties
- The use of ultraproducts in commutative algebra
- Infinite integral extensions and big Cohen-Macaulay algebras
- Tight closure of parameter ideals
- Non-standard tight closure for affine \(\mathbb C\)-algebras
- Canonical big Cohen-Macaulay algebras and rational singularities
- The direct factor conjecture
- Applications of the existence of big Cohen-Macaulay algebras
- Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers
- Singularities in mixed characteristic via perfectoid big Cohen-Macaulay algebras
- Big Cohen-Macaulay and seed algebras in equal characteristic zero via ultraproducts
- Lefschetz extensions, tight closure and big Cohen-Macaulay algebras
- PURE SUBRINGS OF COMMUTATIVE RINGS
- Formulas for multiplier ideals on singular varieties
- Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
- Cyclic Purity Versus Purity in Excellent Noetherian Rings
- A characterization of rational singularities in terms of injectivity of Frobenius maps
- On a generalization of test ideals
- Log-terminal singularities and vanishing theorems via non-standard tight closure
- A generalization of tight closure and multiplier ideals
- An interpretation of multiplier ideals via tight closure
- Characteristic-free test ideals
- Pure subrings of regular rings are pseudo-rational
This page was built for publication: BIG COHEN–MACAULAY TEST IDEALS IN EQUAL CHARACTERISTIC ZERO VIA ULTRAPRODUCTS
