Nearby cycles commute with proper direct image on stacks of shtukas
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914334406344704 |
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| author | Eteve, Arnaud Xue, Cong |
| author_facet | Eteve, Arnaud Xue, Cong |
| contents | Let $G$ be a generically reductive group over a smooth projective curve $X$ over a finite field. For any finite set $I$, we show that nearby cycles commute with proper direct image from stacks of shtukas to $X^I$. This generalizes some results of Salmon and the authors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16474 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nearby cycles commute with proper direct image on stacks of shtukas Eteve, Arnaud Xue, Cong Algebraic Geometry Number Theory Let $G$ be a generically reductive group over a smooth projective curve $X$ over a finite field. For any finite set $I$, we show that nearby cycles commute with proper direct image from stacks of shtukas to $X^I$. This generalizes some results of Salmon and the authors. |
| title | Nearby cycles commute with proper direct image on stacks of shtukas |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2409.16474 |