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arXiv · 1706.06946

Integral perfectoid big Cohen-Macaulay algebras via Andr\'e's theorem

Kazuma Shimomoto
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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 Andr\'e. 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.

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Kazuma Shimomoto. 2017-06-21. Integral perfectoid big Cohen-Macaulay algebras via Andr\'e's theorem. https://doi.org/10.1007/s00208-018-1704-x

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