{"paper":{"title":"Stable reflexive sheaves and localization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.AG","authors_text":"Amin Gholampour, Martijn Kool","submitted_at":"2013-08-16T18:27:59Z","abstract_excerpt":"We study moduli spaces $\\mathcal{N}$ of rank 2 stable reflexive sheaves on $\\mathbb{P}^3$. Fixing Chern classes $c_1$, $c_2$, and summing over $c_3$, we consider the generating function $\\mathsf{Z}^{\\mathrm{refl}}(q)$ of Euler characteristics of such moduli spaces. The action of the torus $T$ on $\\mathbb{P}^3$ lifts to $\\mathcal{N}$ and we classify all sheaves in $\\mathcal{N}^T$. This leads to an explicit expression for $\\mathsf{Z}^{\\mathrm{refl}}(q)$. Since $c_3$ is bounded below and above, $\\mathsf{Z}^{\\mathrm{refl}}(q)$ is a polynomial. We find a simple formula for its leading term when $c_"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3688","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":""},"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"}