Coherence of absolute integral closures
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Publication:5068130
DOI10.1090/bproc/121zbMath1483.13031arXiv2107.14743OpenAlexW4287063480MaRDI QIDQ5068130
Publication date: 5 April 2022
Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.14743
Integral closure of commutative rings and ideals (13B22) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Homological conjectures (intersection theorems) in commutative ring theory (13D22) Integral domains (13G99)
Related Items (2)
A VARIANT OF PERFECTOID ABHYANKAR’S LEMMA AND ALMOST COHEN–MACAULAY ALGEBRAS ⋮ Vanishing of Tors of absolute integral closures in equicharacteristic zero
Cites Work
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- F-coherent rings with applications to tight closure theory
- Tight closure and elements of small order in integral extensions
- Tight closure does not commute with localization
- Homological properties of the perfect and absolute integral closures of noetherian domains
- Commutative coherent rings
- Infinite integral extensions and big Cohen-Macaulay algebras
- Tight closure of parameter ideals
- Finite Tor dimension and failure of coherence in absolute integral closures
- The direct factor conjecture
- Almost Cohen-Macaulay and almost regular algebras via almost flat extensions
- Dagger closure in regular rings containing a field
- \(\hat{R^+}\) is surprisingly an integral domain
- Singularities in mixed characteristic via perfectoid big Cohen-Macaulay algebras
- Extended plus closure in complete local rings
- Valuation rings are derived splinters
- Annihilators of local cohomology in characteristic zero
- (Non)vanishing results on local cohomology of valuation rings
- Projectivity of the Witt vector affine Grassmannian
- On the joints of Hensel rings
- Dagger closure and solid closure in graded dimension two
- Regular rings and perfect(oid) algebras
- Global Dimension of Valuation Rings
- Contracted ideals from integral extensions of regular rings
- On some permanence properties of (derived) splinters
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