The main result of this article is to prove that any Noetherian local domain of mixed characteristic maps to an integral perfectoid big Cohen–Macaulay algebra. The proof of this result… Click to show full abstract
The main result of this article is to prove that any Noetherian local domain of mixed characteristic maps to an integral perfectoid big Cohen–Macaulay algebra. The proof of this result is based on the construction of almost Cohen–Macaulay algebras in mixed characteristic due to Yves André. Moreover, we prove that the absolute integral closure of a complete Noetherian local domain of mixed characteristic maps to an integral perfectoid big Cohen–Macaulay algebra.
Keywords:
perfectoid big;
cohen macaulay;
macaulay;
big cohen;
integral perfectoid
Journal Title: Mathematische Annalen
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Mathematische Annalen
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!