{"paper":{"title":"Base change of twisted Fontaine-Faltings modules and Twisted Higgs-de Rham flows over very ramified valuation rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Jinbang Yang, Kang Zuo, Ruiran Sun","submitted_at":"2017-11-22T07:48:36Z","abstract_excerpt":"In this short notes, we prove a stronger version of Theorem 0.6 in our previous paper arXiv:1709.01485: Given a smooth log scheme $(\\mathcal{X} \\supset \\mathcal{D})_{W(\\mathbb{F}_q)}$, each stable twisted $f$-periodic logarithmic Higgs bundle $(E,\\theta)$ over the closed fiber $(X \\supset D)_{\\mathbb{F}_q}$ will correspond to a $\\mathrm{PGL}_r(\\mathbb{F}_{p^f})$-crystalline representation of $\\pi_1((\\mathcal{X} \\setminus \\mathcal{D})_{W(\\mathbb{F}_q)[\\frac{1}{p}]})$ such that its restriction to the geometric fundamental group is absolutely irreducible."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.08162","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}