Non-semi-stable loci in Hecke stacks and Fargues' conjecture
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2016
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909865280012288 |
|---|---|
| author | Gaisin, Ildar Imai, Naoki |
| author_facet | Gaisin, Ildar Imai, Naoki |
| contents | We show the Harris--Viehmann conjecture under some Hodge--Newton reducibility condition for a generalization of the diamond of a non-basic Rapoport--Zink space at infinite level, which appears as a cover of the non-semi-stable locus in the Hecke stack. We show also that the cohomology of the non-semi-stable locus with coefficient coming from a cuspidal Langlands parameter vanishes. As an application, we show the Hecke eigensheaf property in Fargues' conjecture for cuspidal Langlands parameters in the GL(2)-case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1608_07446 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Non-semi-stable loci in Hecke stacks and Fargues' conjecture Gaisin, Ildar Imai, Naoki Number Theory Algebraic Geometry 11F70, 11G18, 14G45 We show the Harris--Viehmann conjecture under some Hodge--Newton reducibility condition for a generalization of the diamond of a non-basic Rapoport--Zink space at infinite level, which appears as a cover of the non-semi-stable locus in the Hecke stack. We show also that the cohomology of the non-semi-stable locus with coefficient coming from a cuspidal Langlands parameter vanishes. As an application, we show the Hecke eigensheaf property in Fargues' conjecture for cuspidal Langlands parameters in the GL(2)-case. |
| title | Non-semi-stable loci in Hecke stacks and Fargues' conjecture |
| topic | Number Theory Algebraic Geometry 11F70, 11G18, 14G45 |
| url | https://arxiv.org/abs/1608.07446 |