Descent for algebraic stacks
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915716225040384 |
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| author | Fortman, Olivier de Gaay |
| author_facet | Fortman, Olivier de Gaay |
| contents | We prove that algebraic stacks satisfy 2-descent for fppf coverings. We generalize Galois descent for schemes to stacks, by considering the case where the fppf covering is a finite Galois covering, and reformulating 2-descent data in terms of Galois group actions on the stack. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13642 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Descent for algebraic stacks Fortman, Olivier de Gaay Algebraic Geometry Number Theory We prove that algebraic stacks satisfy 2-descent for fppf coverings. We generalize Galois descent for schemes to stacks, by considering the case where the fppf covering is a finite Galois covering, and reformulating 2-descent data in terms of Galois group actions on the stack. |
| title | Descent for algebraic stacks |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2504.13642 |