A Noetherian local ring of residue characteristic p is regular iff it admits a flat map to a Noetherian ring that extends to a perfectoid tower.
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3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.AC 3years
2026 3representative citing papers
Characterizes perfectoid towers via conormal cones by refining the relationship between torsion for a principal ideal and the associated conormal cone, extending Gabber-Ramero.
citing papers explorer
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Regular rings and perfectoid towers
A Noetherian local ring of residue characteristic p is regular iff it admits a flat map to a Noetherian ring that extends to a perfectoid tower.
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A characterization of perfectoid towers in terms of conormal cones
Characterizes perfectoid towers via conormal cones by refining the relationship between torsion for a principal ideal and the associated conormal cone, extending Gabber-Ramero.
- Structural properties and tilting correspondences of perfectoid towers