Formal Derived Algebraic Geometry
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915285093580800 |
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| author | Chough, Chang-Yeon |
| author_facet | Chough, Chang-Yeon |
| contents | We develop some foundations for the theory of formal derived algebraic geometry, which parallel the theory of formal spectral algebraic geometry by Jacob Lurie. For this, we establish a close connection between algebro-geometric objects in the derived and spectral settings. We apply this construction to prove a version of the formal GAGA theorem in the derived setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13506 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Formal Derived Algebraic Geometry Chough, Chang-Yeon Algebraic Geometry 14A30, 55P43, 18N60 We develop some foundations for the theory of formal derived algebraic geometry, which parallel the theory of formal spectral algebraic geometry by Jacob Lurie. For this, we establish a close connection between algebro-geometric objects in the derived and spectral settings. We apply this construction to prove a version of the formal GAGA theorem in the derived setting. |
| title | Formal Derived Algebraic Geometry |
| topic | Algebraic Geometry 14A30, 55P43, 18N60 |
| url | https://arxiv.org/abs/2412.13506 |