A characterization of perfectoid towers in terms of conormal cones
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911721146286080 |
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| author | Hayashi, Kazuki |
| author_facet | Hayashi, Kazuki |
| contents | We characterize perfectoid towers in terms of conormal cones rather than torsion parts. This result is deduced from a refined study of the relationship between torsion with respect to a principal ideal and the associated conormal cone, building on the work of O. Gabber and L. Ramero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27279 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A characterization of perfectoid towers in terms of conormal cones Hayashi, Kazuki Commutative Algebra 14G45, 13B02 We characterize perfectoid towers in terms of conormal cones rather than torsion parts. This result is deduced from a refined study of the relationship between torsion with respect to a principal ideal and the associated conormal cone, building on the work of O. Gabber and L. Ramero. |
| title | A characterization of perfectoid towers in terms of conormal cones |
| topic | Commutative Algebra 14G45, 13B02 |
| url | https://arxiv.org/abs/2605.27279 |