Homological conjectures, old and new
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Publication:2382940
zbMath1127.13010MaRDI QIDQ2382940
Publication date: 5 October 2007
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Syzygies, resolutions, complexes and commutative rings (13D02) Local cohomology and commutative rings (13D45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Homological conjectures (intersection theorems) in commutative ring theory (13D22) Cohen-Macaulay modules (13C14)
Related Items (14)
Integral perfectoid big Cohen-Macaulay algebras via André's theorem ⋮ The direct summand conjecture for some bigenerated extensions and an asymptotic version of Koh's conjecture ⋮ On the direct summand conjecture and its derived variant ⋮ The direct factor conjecture ⋮ Reduction of the small Cohen-Macaulay conjecture to excellent unique factorization domains ⋮ An application of the almost purity theorem to the homological conjectures ⋮ Algebraic geometry in mixed characteristic ⋮ A VARIANT OF PERFECTOID ABHYANKAR’S LEMMA AND ALMOST COHEN–MACAULAY ALGEBRAS ⋮ Little dimension and the improved new intersection theorem ⋮ Almost direct summands ⋮ Singularities in mixed characteristic. The perfectoid approach ⋮ Singularities and perfectoid geometry ⋮ Towards a homological generalization of the direct summand theorem ⋮ A note on the strong direct summand conjecture
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