Truncations and the Motive of the Stack of Local $G$-Shtukas
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908619066310656 |
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| author | Yaylali, Can |
| author_facet | Yaylali, Can |
| contents | We compute the rational motive of the stack of local $G$-shtukas, for a split reductive group $G$, representing compactly supported cohomology in terms of the motive of the stack of $G$-zips. This result makes explicit use of the truncated version of local $G$-shtukas established by Viehmann-Wedhorn and the theoretical background on the $*$- and $!$-adjunction for pro-systems of algebraic objects established by the author. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25437 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Truncations and the Motive of the Stack of Local $G$-Shtukas Yaylali, Can Algebraic Geometry We compute the rational motive of the stack of local $G$-shtukas, for a split reductive group $G$, representing compactly supported cohomology in terms of the motive of the stack of $G$-zips. This result makes explicit use of the truncated version of local $G$-shtukas established by Viehmann-Wedhorn and the theoretical background on the $*$- and $!$-adjunction for pro-systems of algebraic objects established by the author. |
| title | Truncations and the Motive of the Stack of Local $G$-Shtukas |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2510.25437 |