3 citations · 4 across the 4 of their papers we have counts for
4 papers
Lefschetz extensions, tight closure, and big Cohen-Macaulay algebras
Matthias Aschenbrenner, Hans Schoutens
We associate to every equicharacteristic zero Noetherian local ring a faithfully flat ring extension which is an ultraproduct of rings of various prime characteristics, in a we…
The asymptotic behavior of solid closure in mixed characteristic
Hans Schoutens
We study how solid closure in mixed characteristic behaves after taking ultraproducts. The ultraproduct will be chosen so that we land in equal characteristic, and therefore can ma…
Log-terminal singularities and vanishing theorems
Hans Schoutens
Generalizing work of Smith and Hara, we give a new characterization of log-terminal singularities for finitely generated algebras over , in terms of purity properties of…
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…