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Faithfully flat ring maps are not descendable

arXiv:2405.08124

Abstract

We construct a faithfully flat algebra over the infinite polynomial ring on an algebraically closed field that is not descendable.

In the previous version, there was a significant error in Corollary 2.10. The new proof makes use of infinite Ramsey theory, and highlights the importance of large cardinals

Faithfully flat ring maps are not descendable · wovepaper