{"paper":{"title":"On exceptional collections of line bundles and mirror symmetry for toric Del-Pezzo surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Yochay Jerby","submitted_at":"2016-05-01T10:59:57Z","abstract_excerpt":"Let $X$ be a toric Del-Pezzo surface and let $Crit(W) \\subset (\\mathbb{C}^{\\ast})^n$ be the solution scheme of the Landau-Ginzburg system of equations. Denote by $X^{\\circ}$ the polar variety of $X$. Our aim in this work is to describe a map $L : Crit(W) \\rightarrow Fuk_{trop}(X^{\\circ})$ whose image under homological mirror symmetry corresponds to a full strongly exceptional collection of line bundles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00236","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"}