{"paper":{"title":"Stable maps of genus zero in the space of stable vector bundles on a curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Kiryong Chung, Sanghyeon Lee","submitted_at":"2015-12-24T06:38:04Z","abstract_excerpt":"Let $X$ be a smooth projective curve with genus $g\\geq3$. Let $\\mathcal{N}$ be the moduli space of stable rank two vector bundles on $X$ with a fixed determinant $\\mathcal{O}_X(-x)$ for $x\\in X$. In this paper, as a generalization of Kiem and Castravet's works, we study the stable maps in $\\mathcal{N}$ with genus $0$ and degree $3$. Let $P$ be a natural closed subvariety of $\\mathcal{N}$ which parametrizes stable vector bundles with a fixed subbundle $L^{-1}(-x)$ for a line bundle $L$ on $X$. We describe the stable map space $\\mathbf{M}_0(P,3)$. It turns out that the space $\\mathbf{M}_0(P,3)$ "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.07726","kind":"arxiv","version":2},"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"}