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math.AC2002
Mixed characteristic homological theorems in low degrees
Hans Schoutens
Let R be a locally finitely generated algebra over a discrete valuation ring V of mixed characteristic. For any of the homological properties, the Direct Summand Theorem, the Monom…
math.AC2002
Canonical Big Cohen-Macaulay algebras and rational singularities
Hans Schoutens
We give a canonical construction of a balanced big Cohen-Macaulay algebra for a domain of finite type over by taking ultraproducts of absolute integral closures in posi…