Root stack valuative criterion for good moduli spaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866908446657347584 |
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| author | Bejleri, Dori Inchiostro, Giovanni Satriano, Matthew |
| author_facet | Bejleri, Dori Inchiostro, Giovanni Satriano, Matthew |
| contents | We prove a root stack valuative criterion for good moduli space maps and for gerbes for reductive groups under some mild assumptions on the residue characteristic. We give several applications to parahoric extension for torsors, rational points on stacks, gerbes and homogeneous spaces, and the geometry of fibrations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08642 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Root stack valuative criterion for good moduli spaces Bejleri, Dori Inchiostro, Giovanni Satriano, Matthew Algebraic Geometry Number Theory Representation Theory We prove a root stack valuative criterion for good moduli space maps and for gerbes for reductive groups under some mild assumptions on the residue characteristic. We give several applications to parahoric extension for torsors, rational points on stacks, gerbes and homogeneous spaces, and the geometry of fibrations. |
| title | Root stack valuative criterion for good moduli spaces |
| topic | Algebraic Geometry Number Theory Representation Theory |
| url | https://arxiv.org/abs/2507.08642 |