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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.07626 |
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| _version_ | 1866912699724595200 |
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| author | Saenz, Felipe del Valle, Joel Torres |
| author_facet | Saenz, Felipe del Valle, Joel Torres |
| contents | This paper develops the basic theory of formal schemes over fields in the supersymmetric setting. We introduce the notion of a formal superscheme and investigate some of its fundamental properties. Particular emphasis is placed on the study of morphisms between formal superschemes, for which we establish a faithfully flat descent theorem and a fiber dimension-type theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_07626 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Formal Superschemes over Fields: Basic Theory Saenz, Felipe del Valle, Joel Torres Algebraic Geometry 16T15, 14A15, 14A22 This paper develops the basic theory of formal schemes over fields in the supersymmetric setting. We introduce the notion of a formal superscheme and investigate some of its fundamental properties. Particular emphasis is placed on the study of morphisms between formal superschemes, for which we establish a faithfully flat descent theorem and a fiber dimension-type theorem. |
| title | Formal Superschemes over Fields: Basic Theory |
| topic | Algebraic Geometry 16T15, 14A15, 14A22 |
| url | https://arxiv.org/abs/2511.07626 |