Faithfully flat ring maps are not descendable
Ivan Zelich
TL;DR
This paper constructs a specific example of a faithfully flat algebra over an infinite polynomial ring that defies the expected property of descendability, challenging assumptions in algebraic geometry.
Contribution
It provides the first explicit example showing that faithfully flat ring maps are not necessarily descendable, countering previous beliefs.
Findings
Faithfully flat algebra over infinite polynomial ring is not descendable.
Counterexample challenges existing assumptions in algebraic geometry.
Highlights limitations of descent theory in certain algebraic contexts.
Abstract
We construct a faithfully flat algebra over the infinite polynomial ring on an algebraically closed field that is not descendable.
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Taxonomy
TopicsComputer Graphics and Visualization Techniques · Computational Geometry and Mesh Generation · Geological Modeling and Analysis