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http://hdl.handle.net/11531/87001| Título : | Hitchin map for the moduli space of Λ-modules in positive characteristic |
| Autor : | Alfaya Sánchez, David Pauly, Christian |
| Fecha de publicación : | 15-nov-2023 |
| Resumen : | Building on Simpson's original definition over the complex numbers, we introduce the notion of restricted sheaf Λ of rings of differential operators on a variety defined over a field of positive characteristic. We define the notion of p-curvature for Λ-modules and the analogue of the Hitchin map on the moduli space of Λ-modules. We show that under certain conditions this Hitchin map descends under the Frobenius map of the underlying variety and we give examples. Building on Simpson's original definition over the complex numbers, we introduce the notion of restricted sheaf Λ of rings of differential operators on a variety defined over a field of positive characteristic. We define the notion of p-curvature for Λ-modules and the analogue of the Hitchin map on the moduli space of Λ-modules. We show that under certain conditions this Hitchin map descends under the Frobenius map of the underlying variety and we give examples. |
| Descripción : | Artículos en revistas |
| URI : | https://doi.org/10.1016/j.jalgebra.2023.07.012 |
| ISSN : | 0021-8693 |
| Aparece en las colecciones: | Artículos |
Ficheros en este ítem:
| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| IIT-23-343R.pdf | 476,74 kB | Adobe PDF | Visualizar/Abrir Request a copy | |
| IIT-23-343R_preprint.pdf | 281,46 kB | Adobe PDF | Visualizar/Abrir | |
| IIT-23-343R_preview.pdf | 2,16 kB | Adobe PDF | Visualizar/Abrir |
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