{"paper":{"title":"MMP Via Wall-crossing for Moduli Spaces of Stable Sheaves on an Enriques surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Howard Nuer, K\\=ota Yoshioka","submitted_at":"2019-01-13T12:51:07Z","abstract_excerpt":"We use wall-crossing in the Bridgeland stability manifold to systematically study the birational geometry of the moduli space $M_\\sigma(\\mathbf{v})$ of $\\sigma$-semistable objects of class $\\mathbf{v}$ for a generic stability condition $\\sigma$ on an arbitrary Enriques surface $X$. In particular, we show that for any other generic stability condition $\\tau$, the two moduli spaces $M_\\tau(\\mathbf{v})$ and $M_\\sigma(\\mathbf{v})$ are birational. As a consequence, we show that for primitive $\\mathbf{v}$ of odd rank $M_\\sigma(\\mathbf{v})$ is birational to a Hilbert scheme of points. Similarly, in e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.04848","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"}