Semistable Non Abelian Hodge theorem in positive characteristic
| Autor: | Herrero, Andres Fernandez, Zhang, Siqing |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we show that for any reductive group $G$ the moduli space of semistable $G$-Higgs bundles on a curve in characteristic $p$ is a twisted form of the moduli space of semistable flat $G$-connections. This is the semistable version of a previous result of Chen-Zhu, and the $G$-bundle version of a previous result of de Cataldo-Groechenig-Zhang. As a consequence, we show that the Decomposition Theorem for the Hitchin morphism for $G$-Higgs bundles has the same shape as that for the de Rham-Hitchin morphism for flat $G$-connections. Comment: 34 pages. Fixed a minor inaccuracy in Thm 4.17.4 in the previous version. Added Appendix A. Comments welcome! |
| Databáze: | arXiv |
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