Mixed characteristic homological theorems in low degrees.
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Publication:1408110
DOI10.1016/S1631-073X(03)00114-6zbMath1049.13009arXivmath/0211466MaRDI QIDQ1408110
Publication date: 15 September 2003
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0211466
Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Homological conjectures (intersection theorems) in commutative ring theory (13D22)
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Cites Work
- Bounds in the theory of polynomial rings over fields. A nonstandard approach
- Asymptotic homological conjectures in mixed characteristic
- Infinite integral extensions and big Cohen-Macaulay algebras
- Non-standard tight closure for affine \(\mathbb C\)-algebras
- Canonical big Cohen-Macaulay algebras and rational singularities
- Applications of the existence of big Cohen-Macaulay algebras
- Bounds in cohomology
- Canonical elements in local cohomology modules and the direct summand conjecture
- Ideal membership in polynomial rings over the integers
- Grade-Sensitive Modules and Perfect Modules
- Diophantine Problems Over Local Fields I
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