{"paper":{"title":"Filtrations on the derived category of twisted K3 surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ruxuan Zhang, Xun Zhang, Zaiyuan Chen, Zhiyuan Li","submitted_at":"2024-02-21T13:22:31Z","abstract_excerpt":"We introduce and study the Shen-Yin-Zhao filtration on derived categories of twisted K3 surfaces. A main contribution is the construction of a twisted Beauville-Voisin class $\\mathfrak{o}_{\\mathscr{X}} \\in \\operatorname{CH}_0(X)$ that extends fundamental results of O'Grady and Shen-Yin-Zhao \\cite{OG13, SYZ20} to twisted settings. This class enables:\n  1. A derived equivalence-invariant filtration $\\mathbf{S}_\\bullet(\\mathrm{D}^{(1)}(\\mathscr{X}))$ preserved under Fourier-Mukai transforms,\n  2. A birational invariant filtration $\\mathbf{S}^{\\mathrm{SYZ}}_\\bullet \\operatorname{CH}_0$ on Bridgela"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.13793","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2402.13793/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}