Algebraization of absolute perfectoidization via section rings
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866913112321425408 |
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| author | Ishizuka, Ryo Yoshikawa, Shou |
| author_facet | Ishizuka, Ryo Yoshikawa, Shou |
| contents | We construct and study a graded version of absolute perfectoidization for $G$-graded adic rings. As a main geometric application, we show that the absolute perfectoidization of the structure sheaf of a projective-type formal scheme admits an algebraization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02682 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Algebraization of absolute perfectoidization via section rings Ishizuka, Ryo Yoshikawa, Shou Algebraic Geometry Commutative Algebra Number Theory We construct and study a graded version of absolute perfectoidization for $G$-graded adic rings. As a main geometric application, we show that the absolute perfectoidization of the structure sheaf of a projective-type formal scheme admits an algebraization. |
| title | Algebraization of absolute perfectoidization via section rings |
| topic | Algebraic Geometry Commutative Algebra Number Theory |
| url | https://arxiv.org/abs/2604.02682 |