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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.07748 |
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| _version_ | 1866912150816030720 |
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| author | Calixto, R. A. Freitas, T. H. Pérez, V. H. Jorge |
| author_facet | Calixto, R. A. Freitas, T. H. Pérez, V. H. Jorge |
| contents | The main focus of this paper is to show that the gluing of formal schemes is also a formal scheme. The algebraic approach established here also leads us to conclude when the gluing of $k$-formal schemes is a $k$-formal scheme. In addition, we derive that the gluing of formal schemes is always singular, regardless of whether we know the structure of the schemes involved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07748 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the gluing of formal schemes Calixto, R. A. Freitas, T. H. Pérez, V. H. Jorge Commutative Algebra The main focus of this paper is to show that the gluing of formal schemes is also a formal scheme. The algebraic approach established here also leads us to conclude when the gluing of $k$-formal schemes is a $k$-formal scheme. In addition, we derive that the gluing of formal schemes is always singular, regardless of whether we know the structure of the schemes involved. |
| title | On the gluing of formal schemes |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2412.07748 |