{"paper":{"title":"On O'Grady's generalized Franchetta conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Junliang Shen, Nebojsa Pavic, Qizheng Yin","submitted_at":"2016-04-11T13:17:48Z","abstract_excerpt":"We study relative zero cycles on the universal polarized $K3$ surface $X \\to \\mathcal{F}_g$ of degree $2g - 2$. It was asked by O'Grady if the restriction of any class in $\\mathrm{CH}^2(X)$ to a closed fiber $X_s$ is a multiple of the Beauville-Voisin canonical class $c_{X_s} \\in \\mathrm{CH}_0(X_s)$. Using Mukai models, we give an affirmative answer to this question for $g \\leq 10$ and $g = 12, 13, 16, 18, 20$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02939","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"}